Solve by factoring.
-$$x ^ { 2 } + 13 x + 36 = 0$$

Name: Solve by factoring. -\[x ^ { 2 } + 13 x + 36 = 0\]
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Question

Quizplus · Accepted Answer

To solve the quadratic equation $x^2 + 13x + 36 = 0$ by factoring, we look for two numbers that multiply to 36 (the constant term) and add to 13 (the coefficient of the linear term). The numbers -4 and -9 satisfy these conditions because $(-4) \times (-9) = 36$ and $(-4) + (-9) = -13$. Therefore, the factored form is $(x + 4)(x + 9) = 0$, leading to the solutions $x = -4$ and $x = -9$.

Solve by Factoring x2+13x+36=0x ^ { 2 } + 13 x + 36 = 0x2+13x+36=0

Solve by Factoring $x ^ { 2 } + 13 x + 36 = 0$