Question

solve
$\sqrt{x + 1} - \sqrt{x - 1} = 1 \: here \: x =$
pls answer this question ​

Answer 1

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$\sqrt{x + 1} - \sqrt{x - 1} = 1$

=>$\sqrt{x+1}=1+\sqrt{x-1}$

Squaring both sides:-

=>x+1=1²+(x-1)+2(1)(x-1)

=>x+1=1+x-1+2x-2

=>x-x-2x=1-1-1-2

=>-2x=-3

=>x=3/2

Hence, x=3/2

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Answer 2

Answer:

Squaring both sides:-

=>x+1=1²+(x-1)+2(1)(x-1)

=>x+1=1+x-1+2x-2

=>x-x-2x=1-1-1-2

=>-2x=-3

=>x=3/2

Hence, x=3/2

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