Respuesta :
[tex]x = \sqrt{6x - 9} \\[/tex]
Square both sides.
[tex]x^2 = 6x - 9[/tex]
Move all terms to one side.
[tex]x^2 - 6x + 9 = 0[/tex]
Simplify using AC method.
[tex]x^2 - 6x + 9 = (x - 3)(x - 3)[/tex]
x = 3
Answer:
x = 3
Step-by-step 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