Question

find the value of x: 1/(x+4)-1/(x-7)=11/30​

Answer 1

$\frac{1}{x - 4} - \frac{1}{x - 7} = \frac{11}{30} \\ \frac{x - 7 - x + 4}{(x - 4)(x - 7)} = \frac{11}{30} \\ \frac{ - 3}{ {x}^{2} - 7x - 4x + 28 } = \frac{11}{30} \\ - 90 = 11 {x}^{2} - 121x + 308 \\ 11 {x}^{2} - 121x + 317 = 0$