What is the value of x in the equation \sqrt{{1+x}/x}-\sqrt{x/{1+x}=1/\sqrt6

SSC CGL Model Paper 12

Question : 63 of 100

Marks: +1, -0

What is the value of x in the equation

√{{1+x}/x}-√{x/{1+x}}=1/√6

Solution:

√{{1+x}/x}-√{x/{1+x}}=1/√6

⇒ {√{1+x}/√x}- {√x/√{1+x}}=1/√6

⇒{1+x-x} /{ √x×√{1+x}}=1/√6

⇒1/√{x+x^2}=1/√6

⇒6=x+x^2

⇒x + x - 6 = 0

⇒x^ 2 + 3 x - 2 x - 6 = 0

⇒x (x + 3) - 2 ( x + 3) = 0

⇒(x + 3 ) ( x - 2 ) = 0

⇒x =2

Go to Question:

Prev Question

Next Question