Question

Which of the following are solutions to the equation below? Check all that apply . x ^ 2 + x - 20 = 0

Answer 1

`x= -5 or x = 4`

Solution Set = {-5, 4}

Explanation:

`x^(2) + x -20 = 0`

`x^(2) + 5x - 4x -20 = 0`

`(x^(2) + 5x) - (4x + 20) = 0`

`x(x + 5) - 4(x + 5) = 0`

`(x + 5)(x - 4) = 0`

`x+ 5= 0 or x - 4 = 0`

`x= -5 or x = 4`

Solution Set = {-5, 4}