Question

What is the solution to the equation below?

√2x/√x-1=2

A. 4 B. 2 C. 5 D.3
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Answer 1

Given:

The given equation is:

`(√(2x))/(√(x-1))=2`

To find:

The solution for the given equation.

Solution:

We have,

`(√(2x))/(√(x-1))=2`

On simplification, we get

`√(2x)=2√(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=(-4)/(-2)`

`x=2`

Therefore, the correct option is B.