Answer:
[tex]C.) x = 2[/tex]
Step-by-step explanation:
[tex] \frac{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 [/tex]
