what are the solutions to the equation 0 = x² - x - 6? select two options\n□x = -3\n□x = -2\n□x = 0\n□x =…

what are the solutions to the equation 0 = x² - x - 6? select two options\n□x = -3\n□x = -2\n□x = 0\n□x = 2\n□x = 3

what are the solutions to the equation 0 = x² - x - 6? select two options\n□x = -3\n□x = -2\n□x = 0\n□x = 2\n□x = 3

Answer

Explanation:

Step1: Factor the quadratic equation

We need to factor $x^{2}-x - 6$. We look for two numbers that multiply to -6 and add up to -1. The numbers are -3 and 2. So, $x^{2}-x - 6=(x - 3)(x+2)$.

Step2: Set each factor equal to zero

If $(x - 3)(x + 2)=0$, then by the zero - product property, either $x-3=0$ or $x + 2=0$. For $x-3=0$, we get $x=3$. For $x + 2=0$, we get $x=-2$.

Answer:

B. $x=-2$, E. $x = 3$