Решите уравнение cos^2 x+ 5 cos x -6 = 0. Created by olaf16. algebra-ru

Решите уравнение cos^2 x+ 5 cos x -6 = 0...

olaf16 @olaf16

August 2022 1 13 Report

Решите уравнение cos^2 x+ 5 cos x -6 = 0

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Санечка69

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Cos²x + 5 cosx - 6 = 0
Обозначим t = cosx
t² + 5t - 6 = 0
D = 5² - 4·1·(-6) = 49; √49 = 7
t1 = (-5 -7)/2 = -6
t2 = (-5 + 7)/2 = 1
cosx = - 6 - нет решений
cosx = 1
x= 2πn, n∈Z

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reshite trigonometriyu tg koren iz h 1

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reshite trigonometriyu tg koren iz h 1

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