2006-12-15 12:33:04 · 16 answers · asked by wong 1 in Science & Mathematics ➔ Mathematics
1 = - 1 x -1, 1 = -1(1), 1/-1 = 1 so -1 = 1
This is a math trick as you can see 1≠ -1(1) but it's hard to see try this trick out ppl will think you are smart.
2006-12-15 12:42:04 · answer #1 · answered by .......... 4 · 0⤊ 2⤋
Well the very first thing that you have to know is that this is called a fallacy. Fansy word for a thing that cannot be true. Anyway,
In order to prove this, take the lets assume that b is in the R (real numbers) and b>0 and b cannot = 1. Then we can find a in the R such that
b^a = -1
Now this is the easy part to prove that 1 does not = -1
take the natural log of b^a and the natural log of -1
clearly you will end with b*ln(a) = ln(-1)
Now by some previous knowledge of math we know that the
ln(-1) is undefined (Does not have a domain). We also know that b cannot be 1. Therefore, this is a contradiction, b must be 1 and a has to be either 1 or zero or any huge number that will be come 1.
Sorry its hard to explain in details if you don't have some Ideas on how proofs are constructed. But give it a try and I hope it helps you
Good luck.
2006-12-15 14:10:06 · answer #2 · answered by Anonymous · 0⤊ 0⤋
No, it is not.
1 is a positive number and -1 is a negative number. They are at opposite direction on an axis at which 0 is the origin. The similar thing is they are both distant from 0 a mathematical distance of 1 unit.
Besides that,
1 = (-1) * (-1)
1 = (-1) + 2
So, 1 = -1 is mathematically wrong.
2006-12-15 12:42:42 · answer #3 · answered by Anonymous · 0⤊ 1⤋
I do not understand your question.. 1 = 1... and there is NO way that a 1 can equal a - l
2006-12-15 12:38:46 · answer #4 · answered by Anonymous · 0⤊ 1⤋
No. To prove, assume that 1 = -1
then 1 + 1 = 1 + -1
2 = 0, a contradiction.
BTW, if you also need a proof that 2 does not equal zero, assume the contrary and use the zero factor property.
2006-12-15 12:39:28 · answer #5 · answered by Joni DaNerd 6 · 0⤊ 2⤋
No, 1 does not equal -1.
2006-12-15 12:35:26 · answer #6 · answered by Jim Burnell 6 · 0⤊ 1⤋
|1| = |-1|
2006-12-15 12:37:33 · answer #7 · answered by dgbaley27 3 · 1⤊ 1⤋
1 doesn't = -1, one is the opposite of -1, 1=-1^2, I1I=I-1I, but 1 doesn't equal -1
2006-12-15 13:00:58 · answer #8 · answered by Anonymous · 0⤊ 0⤋
Nope, for them to be equal their difference would have to be zero.
1 - (-1) = 1 + 1 = 2
These numbers differ by 2, not by 0 so they are not equal.
2006-12-15 12:37:25 · answer #9 · answered by Puzzling 7 · 1⤊ 1⤋
1 is not equal to -1 because negative 1 is negative and 1 is positive.
2006-12-15 12:38:04 · answer #10 · answered by Tinkerbellpixie11713 2 · 0⤊ 1⤋