Предмет: Математика, автор: apirarov

Найдите сумму корней уравнения 27x³+9x²-48x+20=0

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Автор ответа: Аноним

$27x^3+9x^2-48x+20=0\\27x^3-18x^2+27x^2-18x-30x+20=0\\9x^2(3x-2)+9x(3x-2)-10(3x-2)=0\\(3x-2)(9x^2+9x-10)=0\\(3x-2)(9x^2+15x-6x-10)=0\\(3x-2)(3x*(3x+5)-2(3x+5))=0\\(3x-2)(3x+5)(3x-2)=0\\(3x-2)^2(3x+5)=0\\(3x-2)^2=0,3x+5=0\\x_{1}=-\frac{5}{3},x_{2}=\frac{2}{3}$

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Найдите сумму корней уравнения 27x³+9x²-48x+20=0​

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Найдите сумму корней уравнения 27x³+9x²-48x+20=0