Question

N

What is the solution of Vx+ 12 = x?
O X=-3
O x = 4
小
O x=-3 or x = 4
no solution

Answer 1

x = 4 is the solution

Explanation:

given = x ( square both sides )

x + 12 = x² ( rearrange into standard form )

x² - x - 12 = 0 ← in standard form

(x - 4 )(x + 3 ) = 0 ← in factored form

equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 3 = 0 ⇒ x = - 3

Insert these values into the original equation, and if both sides are equal, and those are the solutions.

x = 4 : = = 4 = x ← correct

x = - 3 : = = 3 ≠ - 3 ← false

the answer is x = 4