Question

Solve x2 − 8x − 20 = 0.

x = 4, x = −5
x = −4, x = 5
x = 2, x = −10
x = −2, x = 10

Answer 1

The answer to your problem is D) X=-2, X=10 

Answer 2

Answer: The correct option is (D) x = −2, x = 10.

Step-by-step explanation: We are given to solve the following quadratic equation :

`x^2-8x-20=0~~~~~~~~~~~~~~~~~~~~~(i)`

We will be using the method of factorization to solve the given quadratic equation.

From equation (i), we have

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

Thus, the required solution is

x = −2, x = 10.

Hence, option (D) is CORRECT.