The solution set for the equation √(56-x) = x is

Answer 1

This question is well answered above! Just to write out that last step explicitly, check for extraneous solutions by plugging your solutions back into the original equation:

√(56 - (-8)) ≟ -8

√(64) ≟ -8

8 ≠ -8

√(56 - 7) ≟ 7

√(49) ≟ 7

7 = 7

Answer 2

√(56 - x) = x

56 - x = x²

x² + x - 56 = 0

(x + 8)(x - 7) = 0

x = 7 or -8 (-8 is extraneous)

Solution: 7

Answer 3

Square both sides

Set equation to zero.

Solve using factoring and Zero Product Rule

Check for extraneous roots.