if x - x^2 = x^3 - x^4 then possible values of x are

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28 Jun 2012 solve

if x - x^2 = x^3 - x^4
then possible values of x are

OPtion

1) 0
2) 1
3) 2
4) 3
5) -1
6) -2
7) -3
8) 2 values out of the given 7 values
9 3 values out of the given 7 values
10) 4 values out of the given 7 values

Solution

x - x^2 = x^3 - x^4
implies that x(1-x) = x^3(1-x)
so (1-x)(x-x^3) = 0
so (1-x)x(1-x^2)= 0
so (1-x)x(1+x)(1-x) = 0
so x = 0, 1, -1

Correct Option: 9 Best Solution (0)