Question

СРОЧНО!!! РЕШИТЬ УРАВНЕНИЕ! 8 КЛАСС.

180/x - 180/x+15 = 24

Answer 1

$\frac{180}{x}- \frac{180}{x+15} =24\\\\ \frac{180}{x} - \frac{180}{x+15} -24=0\\\\ \frac{180x + 2700-180x-24 x^{2} -360x}{x(x+15)}=0\\\\ \frac{-24 x^{2} -360x+2700}{x(x+15)} =0\\\\x \neq 0 ,x \neq -15\\\\-24 x^{2} -360x+2700=0\\\\ x^{2} +15x-112,5=0\\\\D=(15) ^{2} -4*1*(-112,5)=225+450=675\\\\ x_{1}= \frac{-15+ \sqrt{675} }{2}= \frac{-15+15 \sqrt{3} }{2}\\\\ x_{2} = \frac{-15- \sqrt{675} }{2}= \frac{-15-15 \sqrt{3} }{2}$