Question

which is a solution to ((x - 2)(x + 10) = 13)?
(x = 3)
(x = 8)
(x = 10)
(x = 11)

Explanation:

Step1: Test \( x = 3 \)

Substitute \( x = 3 \) into \( (x - 2)(x + 10) \):
\( (3 - 2)(3 + 10) = (1)(13) = 13 \), which matches the right - hand side.

Step2: Verify other options (optional for confirmation)

• For \( x = 8 \): \( (8 - 2)(8 + 10)=(6)(18) = 108

eq13 \)

• For \( x = 10 \): \( (10 - 2)(10 + 10)=(8)(20)=160

eq13 \)

• For \( x = 11 \): \( (11 - 2)(11 + 10)=(9)(21)=189

eq13 \)

Answer:

\( x = 3 \) (the option: \( x = 3 \))