Решите уравнение:............ Created by shkohp. algebra-ru

Решите уравнение:...

shkohp @shkohp

July 2022 1 5 Report

Решите уравнение:...........

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GlebGor1998

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(6 - х)/(3x^2 - 12) - 2/(x - 2) = 1
(6 - x)/3(x^2 - 4) - 2/(x - 2) = 1
(6 - x) / 3(x^2 - 4) - 2*3(x + 2) / 3(x^2 - 4) = 1
6-x - 6(x + 2) = 3(x^2 - 4)
6 - x - 6x - 12 = 3x^2 - 12
3x^2 - 12 - 6 + x + 6x + 12 = 0
3x^2 + 7x - 6 = 0 Дискриминант уравнения D равен : 7^2 - 4*3* (- 6) = 49 +72 = 121 . Корень квадратный из 121 равен : 11 . Корни уравнения равны : 1-ый = (- 7 + 11) / 2*3 = 4 / 6 = 2/3 ; 2-ой = (- 7 - 11) /2*3 = -18/6 = -3

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