Solve the equation.
-$x ^ { 2 } + 5 x = 66$
A)11, 6
B)-11, 6
C)11, -6
D)-11, 1

Question

Quizplus · Accepted Answer

To solve the quadratic equation $x^2 + 5x = 66$, first bring all terms to one side to set the equation to 0: $x^2 + 5x - 66 = 0$. Factoring the quadratic equation, we look for two numbers that multiply to -66 and add to 5. The numbers -6 and 11 fit these criteria, so we can factor the equation as $(x - 6)(x + 11) = 0$. Setting each factor equal to zero gives us the solutions $x = 6$ and $x = -11$.

Solve the Equation x2+5x=66x ^ { 2 } + 5 x = 66x2+5x=66

Solve the Equation $x ^ { 2 } + 5 x = 66$