Question

How do you solve: square root of (x+6)=x

Answer 1

x=3 and x=-2

Answer 2

just square both sides, and you will get a quadratic equation, then factor it out.

Answer 3

square root (x+6) = x Square both sides
x+6 = x^2
x^2-x-6 = 0
(x-3)(x+2) = 0
x-3 = 0
x = 3

x+2 = 0
x = -2

Even though x=3 and x=-2 the only solution is x=3 because of the following:

square root (3+6) = 3
Square root 9 = 3 which is a true statement

square root (-2+6) = square root 4 = 2 but the second solution states that x=-2 and therefore the square root 4 does not equal -2

Answer 4

-2 is a extraneous root

Answer 5

it is an extraneous root