Question

What is the solution of radical x+12 equal x

Answer 1

Answer:

x = 4 or -3

Step-by-step explanation:

$\sqrt{x+12}$ = x

To get rid of the square root, we need to square both sides.

x + 12 = x²

Get all variables/ integer on to one side.

0 = x² - x - 12

Use any method to solve this quadratic equation. I'm going to use the completing the square method.

12 = x² - x

12 + 0.25 = x² - x + 0.25

$\sqrt{12.25}$ = $\sqrt{(x - 0.5)^2}$

±3.5 = x - 0.5

x = 0.5 ± 3.5

x = 4 or -3

Answer 2

Sqrt(x+12)=x
*square root both sides
x+12=x^2
*subtract over x and 12
x^2-x-12=0
*factor using diamond method
(x-4)(x+3)=0
x=4,-3