х+5=4х-3...

kustovnikita19 @kustovnikita19

July 2022 1 6 Report

Решите уравнение через т. Виета или дискременант, даю 58 баллов
6х-8/х+4=9х-7/х-6
8х-11/х+10=6х+21/8х-2
6/х+5=4х-3

Answers & Comments

ElbortGames

1)

$6x-\frac{8}{x} + 4 = 9x - \frac{7}{x} - 6$

$-3x+10-\frac{1}{x} = 0$

$-3x^{2} + 10x - 1 = 0$

$x = \frac{5+\sqrt{22} }{3}$

Ответ: $x = \frac{5+\sqrt{22} }{3}$

2)

$8x-\frac{11}{x} + 10 = 6x + \frac{21}{8x} -2$

$2x - \frac{109}{8x} + 12 = 0$

$16x^{2} - 109 + 96x = 0$

$x = \frac{-12+\sqrt{253} }{4}$

Ответ: $x = \frac{-12+\sqrt{253} }{4}$

3)

$\frac{6}{x} + 5 = 4x - 3$

$\frac{6}{x} -4x+8=0$

$6-4x^{2} + 8x = 0$

$x = \frac{2+\sqrt{10} }{2}$

Ответ: $x = \frac{2+\sqrt{10} }{2}$

2 votes Thanks 1

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