Question

x-9/3=56/x+4 solve each proportion

Answer 1

Step-by-step explanation:

$\frac{x - 9}{3} = \frac{56}{x + 4} \\ (x - 9)(x + 4) = 56 \times 3 \\ {x}^{2} - 5x - 36 = 168 \\ {x}^{2} - 5x - 204 = 0 \\ {x}^{2} - 17x + 12x - 204 = 0 \\ x(x - 17) + 12(x - 17) = 0 \\ (x - 17)(x + 12) = 0 \\ x = 17 \: \: \: and \: \: x = - 12$