Сократите дробь : x^2+x-6(дробьная Черта) x^2-2x-15. Created by KokoCan. algebra-ru

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

July 2022 2 1 Report

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

zhenyaM2002

Verified answer

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

2 votes Thanks 5

Sougura $x^{2}+x-6=0$
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= $\frac{2+8}{2} =5$
$x^{2} -2x-15=(x+3)(x-5)$
$\frac{(x-2)(x+3)}{(x+3)(x-5)}= \frac{x-2}{x-5}$

4 votes Thanks 5

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