If \sqrt{5+x}+\sqrt{5-x}/\sqrt{5+x}-\sqrt{5-x}=3, then what is the value of x?

SSC CGL Model Paper 14

Question : 62 of 100

Marks: +1, -0

{√{5+x}+√{5-x}}/{√{5+x}-√{5-x}}=3

, then what is the value of x?

Solution:

{√{5+x}+√{5-x}}/{√{5+x}-√{5-x}}=3

{√{5+x}+√{5-x}+√{5+x}-√{5-x}}/{√{5+x}+√{5-x}-√{5+x}+√{5-x}}={3+1}/{3-1}

⇒{2√{5+x}}/{2√{5-x}}=4/2

⇒√{5+x}/√{5-x}=2

⇒{5+x}/{5-x}=4

⇒5+x=20-4x

⇒x=3

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