What is the solution of sqrt x+12=x ? x = –3 x = 4 x = –3 or x = 4 no solution

x = 4 is the solution

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

substitute these values into the original equation and if both sides are equal then they are the solutions

x = 4 : = = 4 = x ← correct

x = - 3 : = = 3 ≠ - 3 ← false

the solution is x = 4

the answer is c just got it on ed

step-by-step explanation: