Question

Solve this radical equation for x. Show all steps.

x=square root 6x-9

Answer 1

x = 3

Explanation:

First, get rid of the square root by squaring both sides of the equation.

x^2 = √(6x - 9)^2

Simplify.

x^2 = 6x - 9

Move 6x-9 to the other side of the equation and set it equal to zero.

x^2 - 6x + 9 = 0

Factor.

(x - 3)(x - 3) = 0

x = 3

Answer 2

`x = √(6x - 9) \\`

Square both sides.

`x^2 = 6x - 9`

Move all terms to one side.

`x^2 - 6x + 9 = 0`

Simplify using AC method.

`x^2 - 6x + 9 = (x - 3)(x - 3)`

x = 3