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 \( (x - 2)(x + 10) \):
\( (3 - 2)(3 + 10) = 1 \times 13 = 13 \).
This matches the right - hand side of the equation \( (x - 2)(x + 10)=13 \).

(We can also check other options for completeness:

Step2: Test x = 8

Substitute \( x = 8 \) into \( (x - 2)(x + 10) \):
\( (8 - 2)(8 + 10)=6\times18 = 108
eq13 \).

Step3: Test x = 10

Substitute \( x = 10 \) into \( (x - 2)(x + 10) \):
\( (10 - 2)(10 + 10)=8\times20 = 160
eq13 \).

Step4: Test x = 11

Substitute \( x = 11 \) into \( (x - 2)(x + 10) \):
\( (11 - 2)(11 + 10)=9\times21 = 189
eq13 \).)

Answer:

A. \( x = 3 \)