Solve the equation by factoring.
-$$x ^ { 2 } - 6 x - 7 = 0$$
A) $\{ - 1,7 \}$
B) $\{ 1,7 \}$
C) $\{ 1 , - 7 \}$
D) $\{ - 1 , - 7 \}$

Question

Quizplus · Accepted Answer

To solve the equation $x^2 - 6x - 7 = 0$ by factoring, we look for two numbers that multiply to $-7$ and add to $-6$. These numbers are $-1$ and $-7$, so the factored form is $(x + 1)(x - 7) = 0$. Setting each factor equal to zero gives the solutions $x = -1$ and $x = 7$, so the correct answer is $\{-1, 7\}$.

Solve the Equation by Factoring x2−6x−7=0x ^ { 2 } - 6 x - 7 = 0x2−6x−7=0

Solve the Equation by Factoring $x ^ { 2 } - 6 x - 7 = 0$