Question

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

Answer 1

Answer: There are two answers to this x=3 and x=11

Explanation:

Answer 2

Answer: The correct option is (A). x = 3.

Step-by-step explanation: We are given to find the solution of the following quadratic equation :

`(x-2)(x+10)=13.`

We have

`(x-2)(x+10)=13\\\\\Rightarrow x^2-2x+10x-20=13\\\\\Rightarrow x^2+8x-20-13=0\\\\\Rightarrow x^2+8x-33=0\\\\\Rightarrow x^2+11x-3x-33=0\\\\\Rightarrow x(x+11)-3(x+11)=0\\\\\Rightarrow (x-3)(x+11)=0\\\\\Rightarrow x-3=0,~~~x+11=0\\\\\Rightarrow x=3, -11.`

So, the solution of the given equation is x = 3 and x = -11.

Thus, the correct option is (A). x = 3.