Question

What is the solution to the equation below?√2x/√x-1=2 A. 4 B. 2 C. 5 D.3 ​

Answer 1

Given:

The given equation is:

$\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2$

To find:

The solution for the given equation.

Solution:

We have,

$\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2$

On simplification, we get

$\sqrt{2x}=2\sqrt{x-1}$

Squaring both sides, we get

$2x=4(x-1)$

$2x=4x-4$

$2x-4x=-4$

$-2x=-4$

Divide both sides by -2.

$x=\dfrac{-4}{-2}$

$x=2$

Therefore, the correct option is B.