Question

Solve the rational equation

Answer 1

`C.) x = 2`

Explanation:

`(1)/(x - 4) = \frac{7}{ {x}^(2) + x - 20} \\ \\ {x}^(2) + x - 20 = 7x - 28 \\ {x}^(2) + x - 7x = 20 - 28 \\ {x}^(2) - 6x = - 8 \\ {x}^(2) - 6x + 8 = 0 \\ {x}^(2) - 4x - 2x + 8 = 0 \\ x(x - 4) - 2(x - 4) = 0 \\ (x - 2)(x - 4) = 0 \\ x = 2 \: \: \: \: \: or \: \: \: \: x = 4`

Answer 2

the answer is x=2

hope this helped!!