Question

solve for x : 1/x-4 -1/x-7=11/30

Answer 1

Answer:

$\frac{1}{x - 4} - \frac{1}{x - 7} = \frac{11}{30}$

$= > \frac{(x - 7 )- (x - 4)}{(x - 4)(x - 7)} = \frac{11}{30}$

$= > \frac{x - 7 - x + 4}{ {x}^{2} - 7x - 4x + 28 } = \frac{11}{30}$

$=>\frac{ - 3\times 30}{11}= {x}^{2} - 11x + 28$

$= > {x}^{2} - 11x + 28 = - \frac{90}{11}$

$= > {x}^{2} - 11x + 28 + \frac{90}{11} = 0$

$= > {x}^{2} - 11x + \frac{308 + 90}{11} = 0$

$= > 11 {x}^{2} - 121x + 398 = 0$