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## Main Question or Discussion Point

**confused with the answer<> seems correct buttht's wrong wrong???????**

question is

sqrt(x+1)-sqrt(x-1)=sqrt(4x-1) - - - - - - - - - - - - - - - - - - - - - - - (1)find solution

sqrt(x+1)-sqrt(x-1)=sqrt(4x-1)

squaring both sides

(x+1)+(x-1)-2*sqrt(x

^{2}-1)=4x-1 - - - - - - - - - - - - - - - - (2)

solving and rearranging

1-2x=2*sqrt(x

^{2}-1) - - - - - - - - - - - - - - - - - - - - - - - -(3)

once again squaring both sides;

1-4x= -4

x=5/4;

But it does not satisfy the first equation.

**it also doesn't satisfying equation number three, Is it reason for this????**

If yes then why it is so?>?>?>?>?>?>(this is my question)

If yes then why it is so?>?>?>?>?>?>(this is my question)