Math, asked by devraj, 1 year ago

how is this possible:
1^2 - 1^2 =1^2 - 1^2
1x1 - 1x1 = (1+1)(1-1) [:-a^2- b^2= (a-b)(a+b)]
1(1-1) =(1+1)(1-1)
1=[(1+1)(1-1)]/(1-1)
1=(1+1)
1=2


Answers

Answered by Anupkashyap
2
the error is in the 4th step... in which u are dividing the RHS by (1-1) which is 0,
You cannot divide it by zero as the value becomes non-determined value..

devraj: but both the (1-1) gets cancelled
Anupkashyap: you cannot carry on with calculations with a value which is not defined
devraj: but (1-1)/(1-1)= 1 if (1-1)is taken as any variable you would cancel it
Anupkashyap: (1-1)is not a variable... its like this.. u can prove 2 =7.. 1st consider the equation, multiply both sides by 0, u'l get 0=0.. LHS=RHS hence 2=7.. but its wrong.. u cannot multiply or divide with zero..
devraj: thanx for explaining
Answered by Angella
1
1^2 - 1^2 =1^2 - 1^2
1x1 - 1x1 = (1+1)(1-1) [:-a^2- b^2= (a-b)(a+b)]
1(1-1) =(1+1)(1-1)
1(0) = 2(0)
0 = 0 //Hence, possible//

First of all, you need to solve the values on one side(say, LHS) and then may compare it with the resultant value of the other side(RHS) for further solving.
And so in this case, you need to subtract 1 from 1 on either sides first, multiply the difference with 1 and 2 respectively and then consider the resultant "0"s for equaling.
Hence, possible !

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