Solve the equation by completing the square
-$x^{2}+3 x=40$
A) $\{8,5\}$
B) $\{-8,-5\}$
C) $\{-8,5\}$.
D) $\{-5,8\}$

Question

Quizplus · Accepted Answer

To solve the equation $x^{2} + 3x = 40$ by completing the square, first move the constant term to the other side: $x^{2} + 3x - 40 = 0$. To complete the square, add $(\frac{3}{2})^{2} = \frac{9}{4}$ to both sides, then subtract the same from the right side to keep the equation balanced, which is not necessary here since we directly aim to balance and solve the equation. Instead, we factor the quadratic equation directly or find roots using the quadratic formula. The correct roots are $-8$ and $5$, which means the solution set is $\{-8, 5\}$.

Solve the Equation by Completing the Square - x2+3x=40x^{2}+3 x=40x2+3x=40 A) {8,5}\{8,5\}{8,5}

Solve the Equation by Completing the Square
- $x^{2}+3 x=40$ A) $\{8,5\}$