Solve the equation by factoring.
-$$x ^ { 2 } = x + 30$$
A) $\{ 1,30 \}$
B) $\{ 5,6 \}$
C) $\{ - 5,6 \}$
D) $\{ - 5 , - 6 \}$

Question

Quizplus · Accepted Answer

First, rearrange the equation to get $x^2 - x - 30 = 0$. Factoring this quadratic equation, we find the factors that multiply to -30 and add to -1, which are -6 and 5. Thus, the solutions are $x = 6$ and $x = -5$, making the correct answer $\{ -5, 6 \}$.

Solve the Equation by Factoring x2=x+30x ^ { 2 } = x + 30x2=x+30

Solve the Equation by Factoring $x ^ { 2 } = x + 30$