Question

Solve V3-5x=Vx+2. What is the value of x?

A 1/6
B 1/4
C 5/6
D There is no real number solution for x.

Answer 1

`x = (1)/(6)`

Explanation:

Given

`√(3 - 5x) = \sqrt{x + 2`

Required: Find x

Square both sides

`3 - 5x = x + 2`

Collect Like Terms

`-5x -x = 2 - 3`

`-6x = -1`

Make x the subject

`x = (-1)/(-6)`

`x = (1)/(6)`