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Posted: 6/17/2002 4:27:52 PM EDT
[#1]
10
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Posted: 6/17/2002 4:29:45 PM EDT
[#2]
Quoted: 10 That's what the book says. I say that's wrong. I hope someone comes up with what I did. She's laughing at me now! |
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Posted: 6/17/2002 4:31:26 PM EDT
[#3]
I say 10 as well. What are you getting and why?
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Posted: 6/17/2002 4:33:38 PM EDT
[#4]
a negative times a negative is a positive. i.e. (-1)^2 = (-1)*(-1) = 1
and (-2)*(-1) = 2 therefore, 1+2+7 = 10 Keving67 |
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Posted: 6/17/2002 4:34:37 PM EDT
[#5]
I got 10 as well.
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Posted: 6/17/2002 4:35:09 PM EDT
[#6]
Sweep,
(-1)^2 = +1 -2(-1) = +2 Therefore, f(-1) = (-1)^2 - 2(-1) + 7 f(-1) = 1 + 2 + 7 f(-1) = 10 Don't see how it can be anything else. If you came up with something else, I submit that you made an error. Perhaps if you "show your work," we can determine where you went wrong. |
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Posted: 6/17/2002 4:38:35 PM EDT
[#7]
I got 10 too.
What do you get if you intergrate that function? |
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Posted: 6/17/2002 4:41:23 PM EDT
[#8]
8
Here's why: -1^2 = -1 because it's actually -(1)^2 or -1(1)^2 In the original function, if -1^2 was to come out as +1, it should be (x)^2 - 2x + 7. If it was (-1)^2, then it would come out as 10, but there's nothing to indicate the "-" is inclusive in -1^2, therefor I say 8! The reason I say this is because I got a very similar problem like this wrong on an exam in my college algebra class. The professor convince me this was the correct way to square negative numbers. Don't tell me for the past 10 years I've been living a lie! |
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Posted: 6/17/2002 4:42:23 PM EDT
[#9]
Quoted: I got 10 too. What do you get if you intergrate that function? (1/3)x^3 - x^2 + 7x evaluated at x = (-1) = -25/3 Keving67 |
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Posted: 6/17/2002 4:44:48 PM EDT
[#10]
Quoted: -1^2 = -1 because it's actually -(1)^2 or -1(1)^2 Sorry, you can't pull out the negative sign because it is x (-1) and you must square x You've been living a lie! sorry man Keving67 |
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Posted: 6/17/2002 4:45:32 PM EDT
[#11]
Quoted: 8 Here's why: -1^2 = -1 because it's actually -(1)^2 or -1(1)^2 In the original function, if -1^2 was to come out as +1, it should be (x)^2 - 2x + 7. If it was (-1)^2, then it would come out as 10, but there's nothing to indicate the "-" is inclusive in -1^2, therefor I say 8! The reason I say this is because I got a very similar problem like this wrong on an exam in my college algebra class. The professor convince me this was the correct way to square negative numbers. Don't tell me for the past 10 years I've been living a lie! You've been living a lie. x= -1 so anywhere you have an x you can replace it with (-1). |
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Posted: 6/17/2002 4:50:52 PM EDT
[#12]
[b]
Quoted: 8 Here's why: -1^2 = -1 because it's actually -(1)^2 or -1(1)^2 In the original function, if -1^2 was to come out as +1, it should be (x)^2 - 2x + 7. If it was (-1)^2, then it would come out as 10, but there's nothing to indicate the "-" is inclusive in -1^2, therefor I say 8! The reason I say this is because I got a very similar problem like this wrong on an exam in my college algebra class. The professor convince me this was the correct way to square negative numbers. Don't tell me for the past 10 years I've been living a lie! I don't think you can do that. Well, you can, but.. When you set like that, x=+1, not -1. x is -1, IT IS as a unit. So, like the guys said, answer is 10. |
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Posted: 6/17/2002 4:51:47 PM EDT
[#13]
Dude, your mathematics teacher screwed you up... OUCH....
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Posted: 6/17/2002 4:52:26 PM EDT
[#14]
Well, all I gotta say is the old man is lucky I still got an A in that class! ( avg. 89.75). I remember all this so vividly because we argued about it for over an hour after class the day we got our exams back.
It was a 10 point problem! I was bucking for an A, and if I had ended up with a B, and you guys telling me that I was right to begin with, I'd track him down and give him a good swift kick in the shin! Plus, now I got to listen to the wife giving me crap! |
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Posted: 6/17/2002 4:56:43 PM EDT
[#15]
(-1)^2 is the same as (-1)*(-1) both equal 1
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Posted: 6/17/2002 4:59:27 PM EDT
[#16]
The solution is 10.
edited for bad typing |
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Posted: 6/17/2002 5:09:14 PM EDT
[#17]
I took calculus in high school, and if I get something like this wrong, my teacher, if still around, would probably smack me on the head!
I can guarantee you that everybody else is right. 10 is the answer. |
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Posted: 6/17/2002 5:40:13 PM EDT
[#18]
Thanks for the help guys.
But for the record, if you just have -1^2, is it considered -(1^2) which will = -1? I know there is something like that. |
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Posted: 6/17/2002 5:50:28 PM EDT
[#19]
Quoted: Thanks for the help guys. But for the record, if you just have -1^2, is it considered -(1^2) which will = -1? I know there is something like that. Only if the negative sign is outside like this -(x), otherwise you are squaring negative one. Order of Operations. |
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Posted: 6/17/2002 5:52:38 PM EDT
[#20]
i got ten. and yes, sweep, you would get -1 for your second question if it were -(1)
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Posted: 6/17/2002 5:57:38 PM EDT
[#21]
10
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Posted: 6/17/2002 6:25:27 PM EDT
[#22]
But for the record, if you just have -1^2, is it considered -(1^2) which will = -1? No. anything^2 = anything * anything So, from your example: -1^2 = -1 * -1 = 1 To extend this one step further, any negative number to an even power is positive. Any negative number to an odd power is negative. Example -1^3 = -1 * -1 * -1 = -1. Of course what do I know? I didn't even start high school, much less finish it.z |
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Posted: 6/17/2002 6:31:57 PM EDT
[#23]
Hey Sweep,
I got 8. J/K....[:D] Puahahaha!! |
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Posted: 6/17/2002 6:58:49 PM EDT
[#24]
Quoted: Thanks for the help guys. But for the record, if you just have -1^2, is it considered -(1^2) which will = -1? I know there is something like that. (-1)^2 is not considered the same as the -(1^2). -(x^2) is considered -1*(x^2), so for any real number x, the solution is negative, as you indicated. Without the parenthesis it is considered (-1)^2. A basic algebraic rule is that for any number (positive or negative), when it is squared the result is only positive. This is used often in formula to ensure that you do not try to get square roots of negative numbers. Which brings up something to help stir your memory: what is the square root of a negative number? It may be vague memories if this which is causing you grief. That is noted by the lower case "i", where "i" = SQRT(-1), and is called an imaginary number. Are the painful memories coming back yet?[}:D] |
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Posted: 6/17/2002 7:08:06 PM EDT
[#25]
Quoted: (-1)^2 is not considered the same as the -(1^2). -(x^2) is considered -1*(x^2), so for any real number x, the solution is negative, as you indicated. Without the parenthesis it is considered (-1)^2. A basic algebraic rule is that for any number (positive or negative), when it is squared the result is only positive. This is used often in formula to ensure that you do not try to get square roots of negative numbers. Which brings up something to help stir your memory: what is the square root of a negative number? It may be vague memories if this which is causing you grief. That is noted by the lower case "i", where "i" = SQRT(-1), and is called an imaginary number. Are the painful memories coming back yet?[}:D] Thanks! And thanks to nm_man, & SDavid also for confirming my sanity. And yes, I remember what the square root of a negative number is. For example the square root of -16 is 4[i]i[/i]. Take the sq/rt. of 16 * -1, which would be 4 times the sq/rt of -1, which is [i]i[/i]. However, for the moment, as far as the wife is concerned you can not have a square root for a negative number. Don't want to over load her brain just yet! Edited to add: x^0 = 1 and 0! = 1 blew her mind! "But why?" "Why is the wrong question to ask." "What do you mean?" "The question can't be 'Why?' Because the answer is yes or no. Does x^0 = 1? Yes." [;D] |
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Posted: 6/17/2002 7:17:14 PM EDT
[#26]
Oh, here's one for ya: When does x^0 not = 1? [:D]
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Posted: 6/17/2002 7:27:18 PM EDT
[#27]
x=0
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Posted: 6/17/2002 8:26:55 PM EDT
[#28]
I got ten also.
But I copied off of Zoom. |
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Posted: 6/19/2002 11:47:42 AM EDT
[#29]
The correct answer for everything is 42. [:D]
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Posted: 6/19/2002 11:51:05 AM EDT
[#30]
Quoted: The correct answer for everything is 42. [:D] Hitchhikers Guide to the Galaxy? |
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Posted: 6/19/2002 11:54:01 AM EDT
[#31]
Quoted: Quoted: The correct answer for everything is 42. [:D] Hitchhikers Guide to the Galaxy? yep |
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Posted: 6/19/2002 11:55:17 AM EDT
[#32]
A billion.
What do I win? TheRedGoat |
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Posted: 6/19/2002 12:00:06 PM EDT
[#33]
Quoted: 8 Here's why: -1^2 = -1 because it's actually -(1)^2 or -1(1)^2 In the original function, if -1^2 was to come out as +1, it should be (x)^2 - 2x + 7. If it was (-1)^2, then it would come out as 10, but there's nothing to indicate the "-" is inclusive in -1^2, therefor I say 8! The reason I say this is because I got a very similar problem like this wrong on an exam in my college algebra class. The professor convince me this was the correct way to square negative numbers. Don't tell me for the past 10 years I've been living a lie! Your problem is that you are substituting -1 for x in the equation when you should be substituting (-1). |
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Posted: 6/19/2002 12:06:07 PM EDT
[#34]
I got Klingon....
Scott [beer] |
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Posted: 6/19/2002 2:03:20 PM EDT
[#35]
I got an answer that proved Einstein was dumb as post.....
But my dog ate the paper..... [:D] |
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Posted: 6/19/2002 2:05:12 PM EDT
[#36]
Quoted: Oh, here's one for ya: When does x^0 not = 1? [:D] When x = 0? |
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Posted: 6/19/2002 2:08:29 PM EDT
[#37]
Quoted: Quoted: Oh, here's one for ya: When does x^0 not = 1? [:D] When x = 0? I think I remember this from my calc classes. is it infinity? Keving67 |
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Posted: 6/19/2002 2:13:57 PM EDT
[#38]
I doubt it. You can't really plug infinity into an equation since it's not really a number. |
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Posted: 6/19/2002 2:24:18 PM EDT
[#39]
Okay, I'll admit stupidity. I know what > means, and what < means, but what is the ^ symbol in x^2
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Posted: 6/19/2002 2:26:05 PM EDT
[#40]
^ is a carrot. it means exponents so x^2 would mean x²
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Posted: 6/19/2002 2:33:22 PM EDT
[#41]
Ok my turn, how will any of this shit help your child get a job later in life?
anyone? [beer] |
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Posted: 6/19/2002 2:35:52 PM EDT
[#42]
Quoted: Ok my turn, how will any of this shit help your child get a job later in life? anyone? [beer] If he or she goes into science or engineering, they damn well better know algebra like the back of their hand. Even things that often don't require the use of algebra directly, such as programming, rely on logic skills that are developed by learning mathematics. |
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Posted: 6/19/2002 2:40:07 PM EDT
[#43]
Quoted: Quoted: Ok my turn, how will any of this shit help your child get a job later in life? anyone? [beer] If he or she goes into science or engineering, they damn well better know algebra like the back of their hand. Even things that often don't require the use of algebra directly, such as programming, rely on logic skills that are developed by learning mathematics. hehe, hey mister bridge builder...you know algebra right? Al...ge...bra? |
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Posted: 6/19/2002 2:42:43 PM EDT
[#44]
Quoted: Quoted: Ok my turn, how will any of this shit help your child get a job later in life? anyone? [beer] If he or she goes into science or engineering, they damn well better know algebra like the back of their hand. Even things that often don't require the use of algebra directly, such as programming, rely on logic skills that are developed by learning mathematics. I think the hardest thing about Calculus was the algebra. |
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Posted: 6/19/2002 2:43:50 PM EDT
[#45]
if it was:
f(-1) = -x^2 - 2x + 7 it be 8 but when you plug -1 in x its like a built in parenthesis so you get f(-1) = (-1)^2 - 2(-1) + 7 = 10 Either you don't recognize the problem when you took it in math class or you got screwed out of 10 points and the teacher isn't bright... |
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Posted: 6/19/2002 4:16:12 PM EDT
[#46]
Algebra is simply a tool of deductive logic developed by mathematicians to simplify the math. Personally, I didn't like the way math was taught, because algebra stresses one aspect of logic, and have relatively fixed rules in the way most algebraic equations are solved in school. I think they should teach algebra and geometry simultaneously along with number theory to high school students. It develops their mathematical skills more comprehensively that way.
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Posted: 6/19/2002 4:32:17 PM EDT
[#47]
Quoted: I doubt it. You can't really plug infinity into an equation since it's not really a number. uhhh, this guy [img]http://www-gap.dcs.st-and.ac.uk/~history/BigPictures/Cantor.jpeg[/img] would disagree. |
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Posted: 6/19/2002 5:48:02 PM EDT
[#48]
Yeah well Cantor also introduced unbounded sets. I wonder what this guy would have to say about that.
[img]http://www-gap.dcs.st-and.ac.uk/~history/BigPictures/Russell_5.jpeg[/img] |
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Posted: 6/19/2002 6:00:30 PM EDT
[#49]
Quoted: Ok my turn, how will any of this shit help your child get a job later in life? anyone? [beer] I use: V = (LWH) - (pi r^2 h) and (2pi r) all the time. |
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Posted: 6/19/2002 6:01:29 PM EDT
[#50]
Hey, nobody's perfect (he also died in a nut house).
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