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Mathematics 8 Online
OpenStudy (anonymous):

THINK ABOUT IT :::::::::::::::::::; see commments

OpenStudy (anonymous):

\[-1=-1\] \[\frac{-1}1=\frac{-1}1\] \[\frac{-1}1=\frac{1}{-1}\] \[\sqrt{-1/1}=\sqrt{1/-1}\] \[\frac{i}{1}=\frac{1}{i}\] \[i=\frac{1}i\] \[i^2=1\] \[-1=1\]

OpenStudy (anonymous):

did any 1 think about it ?

OpenStudy (anonymous):

nice trick, but each statement must stand on its own, the last one does not no matter what train of thought you force us down!

OpenStudy (anonymous):

so finally -1=1 or not ? if not then why ?

OpenStudy (anonymous):

nope i think something should be in 4 or 5 step

OpenStudy (anonymous):

1/i = -i

OpenStudy (anonymous):

think about this one, then: if a=b, then a - b = 0. a - b = a - b. a - b = 2(a - b). a - b = 2 ----- a - b therefore, 1 = 2. what is my trick????? :D

OpenStudy (anonymous):

cant divide by 0

OpenStudy (anonymous):

2/0 dne

OpenStudy (anonymous):

where is the 2/0?????

OpenStudy (anonymous):

that was from that second riddle...

OpenStudy (anonymous):

nonononon, thats not what i'm asking. there is no step which says 2/0 :P

OpenStudy (anonymous):

oh, a-b was defined as 0

OpenStudy (anonymous):

by dividing the left side by a-b you implicitly divide the right side by it also...

OpenStudy (anonymous):

2/0 is complex infinity and 0/0 is undefined. The last statement is simply incorrect. If a-b had not been defined as 0, this would be different.

OpenStudy (anonymous):

i is imaginary therefore it is a "what if" statement that could not be solved so when you take the square root of -1

OpenStudy (anonymous):

i was correct it is that step there is no rule that gurantees the\[\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}\]

OpenStudy (anonymous):

it gurantees that this is true only when a and b are postive

OpenStudy (anonymous):

i^2 = 1 bcuz i = -1 so it is correct

OpenStudy (anonymous):

last step is wrong it should be 1=1

OpenStudy (anonymous):

nope that is correct i^2 = -1

OpenStudy (anonymous):

how

OpenStudy (anonymous):

-1 x -1 = 1

OpenStudy (anonymous):

good one, snaef999.

OpenStudy (anonymous):

i= sqrt (-1) jay

OpenStudy (anonymous):

so it's sqrt(-1)^2 = -1

OpenStudy (anonymous):

the squre root of -1 is not a real root... try using a calc

OpenStudy (unklerhaukus):

@tanvidais13 in your 4th equation, you have multiplied one side of the equation by 2 and not the other

OpenStudy (anonymous):

Because of the discontinuous nature of the square root function in the complex plane, the law √zw = √z√w is in general not true.--- straight from wiki because i believed that the square root was the problem

OpenStudy (anonymous):

so values must be >=0 for the distributing of the square root

OpenStudy (anonymous):

good work friends

OpenStudy (anonymous):

lolz =]

OpenStudy (anonymous):

*continuosly proving math is correct..... most of the time*

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