Solve the equation by completing the square.
-$$x ^ { 2 } + 5 x = 24$$
A) $\{ - 8,3 \}$
B) $\{ 8,3 \}$
C) $\{ - 8 , - 3 \}$
D) $\{ - 3,8 \}$

Question

Quizplus · Accepted Answer

To solve the equation $x^2 + 5x = 24$ by completing the square, first move the constant term to the other side to get $x^2 + 5x - 24 = 0$. Then, factor the quadratic equation to find the roots. Factoring gives $(x + 8)(x - 3) = 0$, which leads to the solutions $x = -8$ and $x = 3$. Therefore, the correct answer is $\{-8, 3\}$.

Solve the Equation by Completing the Square x2+5x=24x ^ { 2 } + 5 x = 24x2+5x=24

Solve the Equation by Completing the Square $x ^ { 2 } + 5 x = 24$