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nastenabud
@nastenabud
July 2022
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Решите уравнение 3^2у-12∙3^у+27=0
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DaxDino
3^2y - 12 * 3^y + 27 = 0
Замена: 3^y = x
x^2 - 12x + 27 = 0
D = 144 - 27*4 = 144 - 108 = 36
x1,2 = (12+-6)/2 = 6+-3 = 9 или 3
вернемся к замене:
3^y=9
3^y=3
y=1; 2
Ответ: 1; 2
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Answers & Comments
Замена: 3^y = x
x^2 - 12x + 27 = 0
D = 144 - 27*4 = 144 - 108 = 36
x1,2 = (12+-6)/2 = 6+-3 = 9 или 3
вернемся к замене:
3^y=9
3^y=3
y=1; 2
Ответ: 1; 2