Question

216/x = (208/x+16) +2 please solve it

Answer 1

hello , I hope it will be the answer

Answer 2

here is your answer...
$\frac{216}{x} = ( \frac{208}{x + 16} ) + 2 \\ or \: \: \frac{216}{x} = \frac{208 + 2x + 32}{x + 16} \\ or \: \: 216x + 3456 = 208x + 2 {x}^{2} + 32x \\ or \: \: 2 {x}^{2} + 240x - 216x - 3456 = 0 \\ or \: \: 2 {x}^{2} + 24x - 3456 = 0 \\ or \: \: {x}^{2} + 12x - 1728 = 0 \\ or \: \: {x}^{2} + 48x - 36x - 1728 = 0 \\ or \: \: x(x + 48) - 36(x + 48) = 0 \\ or \: \: (x + 48)(x - 36) = 0 \\ so \: either \: x = - 48 \\ \: \: \: \: \: or \: x = 36$
so either x = -48 and x= 36 (Answer)
hope it helps,...if u are helped, kindly mark this answer as brainliest.