if [(x+1)/(x-3)]^1/2 = [(x-3)/(x+2)]^1/2 then x will be

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10 Jul 2012 solve

if [(x+1)/(x-3)]^1/2 = [(x-3)/(x+2)]^1/2
then x will be

OPtion

1) 7/9
2) 3/5
3) 4/7
4) 1/7
5) 9/7
6) 3/7
7) 1/8
8) 2/7
9) no solution
10) none of these

Solution

[(x+1)/(x-3)]^1/2 = [(x-3)/(x+2)]^1/2
squaring both the side, we get
[(x+1)/(x-3)] = [(x-3)/(x+2)]
or (x+1)(x+2) = (x-3)^2
or x = 7/9
but this value makes (x-3) negative inside square root
so this value is unacceptable.

Correct Option: 9 Best Solution (0)