Question

Сократите дробь : x^2+x-6(дробьная Черта) x^2-2x-15

Answer 1

$frac{x^2+x-6 }{x^2-2x-15} = frac{x^2 +3x-2x-2*3}{x^2+3x-5x-5*3} = \ \ = frac{x(x+3) -2(x+3)}{x(x+3) -5*(x+3) } = frac{(x-2)(x+3)}{(x-5)(x+3)} = \ \ = frac{x-2}{x-5}$

Answer 2

$x^{2}+x-6=0$
D=b²-4ac=1+24=25=5²

x1=$frac{-1+5}{2}=2$

x2=$frac{1-5}{2}=-3$
$x^{2}+x-6=$(x-2)(x+3)

$x^{2} -2x-15 d=4+60=64=8 ^{2}$
x1=$frac{2-8}{2} =-3$
x2=$frac{2+8}{2} =5$
$x^{2} -2x-15=(x+3)(x-5)$
$frac{(x-2)(x+3)}{(x+3)(x-5)}= frac{x-2}{x-5}$