Question

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

Explanation:

Step1: Factor the quadratic equation

We factor \(x^2 - x - 6\). We need two numbers that multiply to \(-6\) and add to \(-1\). The numbers are \(-3\) and \(2\), so \(x^2 - x - 6=(x - 3)(x + 2)\).

Step2: Solve for x

Set each factor equal to zero:

• For \(x - 3 = 0\), we get \(x = 3\).
• For \(x + 2 = 0\), we get \(x = -2\).

Answer:

B. \(x = -2\), E. \(x = 3\)