Question

Сократите уравнение
$\frac{x^{2} -24x-81}{x-27}$

ДАЮ 35 БАЛЛОВВВВ

Answer 1

$x^{2}-24x-81=0\\\\D=(-24)^{2}-4*(-81)=576+324=900=30^{2}\\\\x_{1} =\frac{24-30}{2}=-3\\\\x_{2}=\frac{24+30}{2}=27\\\\\frac{x^{2}-24x-81 }{x-27}=\frac{(x-27)(x+3)}{x-27}=x+3$