If 2+x+2−x2+x−2−x=2, the what is value of x?

C. 85 — 2+x+2−x2+x−2−x=22+x+2−x=22+x−2−x2+x+2−x=22+x−22−x32−x=2+xSquaring both the sides,18 – 9x = 2 + x 16 = 10xx=1610=85

Number system — Question 3

SSC CGL · Quantitative Aptitude

If $\frac{\sqrt{2 + x} + \sqrt{2 - x}}{\sqrt{2 + x} - \sqrt{2 - x}} = 2$ , the what is value of x?

Correct answer: C

$\frac{\sqrt{2 + x} + \sqrt{2 - x}}{\sqrt{2 + x} - \sqrt{2 - x}} = 2$

$\sqrt{2 + x} + \sqrt{2 - x} = 2 [(\sqrt{2 + x}) - \sqrt{2 - x}]$

$\sqrt{2 + x} + \sqrt{2 - x} = 2 \sqrt{2 + x} - 2 \sqrt{2 - x}$

$3 \sqrt{2 - x} = \sqrt{2 + x}$

Squaring both the sides,

18 – 9x = 2 + x

16 = 10x

$x = \frac{16}{10} = \frac{8}{5}$