Question

Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation? (negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot) (negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot) {–12, 2} {–2, 12}

Edg 2020

Answer 1

Answer:

x = - 12, x = 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 or x = - 5 + 7 = 2

Answer 2

The solution set of the equation is x = - 12, x = 2

What is the equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

How to solve it?

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 = ±  = ± 7 ( subtract 5 from both sides )

x = - 5 ± 7, thus

x = - 5 - 7 = - 12 or x = - 5 + 7 = 2

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