Question

what are the solutions of (x^2 + 6x - 6 = 10)?

• (x = -11) or (x = 1)
• (x = -11) or (x = -1)
• (x = -8) or (x = -2)
• (x = -8) or (x = 2)

Explanation:

Step1: Write the equation

$$x^2 + 6x - 6 = 10$$

Step2: Subtract 10 from both sides

$$x^2 + 6x - 16 = 0$$

Step3: Factor the quadratic equation

$$(x + 8)(x - 2) = 0$$

Step4: Solve for x

$$x = -8\text{ or }x = 2$$

Answer:

\(x = -8\text{ or }x = 2\)