Question

Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?
{-5 - V34,-5 + 34}
{-5 - V29, -5 + 29)
{-12, 2}
{-2, 12}

Answer 1

Answer:

{ - 12, 2 }

Step-by-step explanation:

Given

x² + 10x = 24

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(5)x + 25 = 24 + 25

(x + 5)² = 49 ( take the square root of both sides )

x + 5 = ± $\sqrt{49}$ = ± 7 ( subtract 5 from both sides )

x = - 5 ± 7

Thus

x = - 5 - 7 = - 12

x = - 5 + 7 = 2

Solution set is { - 12, 2 }