Разложите на множители. a²+a-6 n²-4n-60 x²-23x+60. Created by KopolbEnufaHtuy. algebra-ru

Разложите на множители. a²+a-6 n²-4n-60 x²-23x+60...

July 2022 2 13 Report

Разложите на множители.
a²+a-6
n²-4n-60
x²-23x+60

Verified answer

$1) a^2+a-6=a^2+3a-2a-6=a(a+3)-2(a+3)=(a-2)(a+3)
 \\ 2) n^2-4n-60=n^2+6n-10n-60=n(n+6)-10(n+6)=
 \\ =(n-10)(n+6)
 \\ 3) x^2-23x+60=x^2-3x-20x+60=x(x-3)-20(x-3)=
 \\ =(x-20)(x-3)$

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KopolbEnufaHtuy Что значит = // =?

Fidawka555

Verified answer

1) D=1-4*1*(-6)=1+24=25=5^2
a1=(-1+5)/2=2 a2=(-1-5)/2=-3
(a-2)(a+3)
2)D=16-4*1*(-60)=16+240=256=16^
n1=(4+16)/2=10 n2=(4-16)/2=-6
(n-10)(n+6)
3)529-4*1*60=529-240=289=17^2
x1=(23+17)/2=20 x2=(23-17)/2=3
(x-3)(x-20)

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