(3х+1)(3х+1)-(3х-2)(2+3х)=17 решите уравнение. Created by VasilisaVolk2002. algebra-ru

(3х+1)(3х+1)-(3х-2)(2+3х)=17 решите уравнение...

VasilisaVolk2002 @VasilisaVolk2002

July 2022 1 3 Report

(3х+1)(3х+1)-(3х-2)(2+3х)=17 решите уравнение

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witch2

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(3х+1)(3х+1)-(3х-2)(2+3х)=17
раскроем скобки по этапно
(3х^2 +3х+3х+1) - (6х+9х-4-6х) = 17
(3х^2 +6х+1) - (9х-4) = 17
3х^2 +6х+1 - 9х+4 = 17
3х^2 + 3х +5=17
перенесём всё в одну сторону с противоположным знаком, приравниав к нулю
3х^2 + 3х +5-17 = 0
3х^2 + 3х -12 = 0 /:3
х^2 + х -4 = 0
Д = 1^2 - 4*1*(-4) = 1+8 = 9 = 3^3
х1 = -1+3 / 2 = 2/2 = 1
х2 = -1-3 / 2 = -4/2 = -2

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