[JEE Advanced 1978] solve for x sqrt x 1 sqrt x 1 1
Solve for $x$: $\sqrt{x+1}-\sqrt{x-1}=1$.
1 Answer
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· 2d ago
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Answer: $x=\dfrac54$.
$\sqrt{x+1}+\sqrt{x-1}=\frac{(x+1)-(x-1)}1=2$; with the given difference $1$, $\sqrt{x+1}=\frac32\Rightarrow x=\frac54$.
JEE Advanced 1978 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.
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