Respuesta :
Answer: There are two answers to this x=3 and x=11
Step-by-step explanation:
Answer: The correct option is (A). x = 3.
Step-by-step explanation: We are given to find the solution of the following quadratic equation :
[tex](x-2)(x+10)=13.[/tex]
We have
[tex](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.[/tex]
So, the solution of the given equation is x = 3 and x = -11.
Thus, the correct option is (A). x = 3.
