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THe value of x which satisfy the equati...

THe value of x which satisfy the equation `(sqrt(5x^2-8x+3))-sqrt((5x^2-9x+4))=sqrt((2x^2-2x))-sqrt((2x^2-3x+1))` is

A

3

B

2

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
We have `sqrt((5x^(2)-8x+3))-sqrt((5x^(2)-9x+4))`
`=sqrt((2x^(2)-2x))-sqrt((2x^(2)-3x+1))`
`impliessqrt((5x-3)(x-1))-sqrt((5x-4)(x-1))`
`=sqrt(2x(x-1))-sqrt((2x-1)(x-1))`
`impliessqrt(x-1)(sqrt(5x-3)-sqrt(5x-4))=sqrt(x-1)(sqrt(2x)-sqrt(2x-1))`
`impliessqrt(x-1)=0`
`impliesx=1`
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