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aiignatyeva
@aiignatyeva
July 2022
2
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Решить уравнение
(5х+6)^4+5(5х+6)^2-6=0
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artalex74
Verified answer
Замена: (5х+6)² = t, t≥0
Получим уравнение:
t² + 5t - 6 = 0
t = -6 или t = 1
t = -6 - не уд. условию t≥0
Вернемся к х:
(5х+6)² = 1
5х+6 = -1 или 5х+6 = 1
x = -1,4 или x = -1
Ответ: -1,4; -1.
1 votes
Thanks 1
aiignatyeva
Спасибо большое
sedinalana
Verified answer
(5x+6)²=a
a²+5a-6=0
a1+a2=-5 U a1*a2=-6
a1=-6⇒(5x+6)²=-6 нет решения
a2=1⇒(5x+6)²=1
5x+6=-1 U 5x+6=1
5x=-7 U 5x=-5
x=-1,4 U x=-1
1 votes
Thanks 0
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Answers & Comments
Verified answer
Замена: (5х+6)² = t, t≥0Получим уравнение:
t² + 5t - 6 = 0
t = -6 или t = 1
t = -6 - не уд. условию t≥0
Вернемся к х:
(5х+6)² = 1
5х+6 = -1 или 5х+6 = 1
x = -1,4 или x = -1
Ответ: -1,4; -1.
Verified answer
(5x+6)²=aa²+5a-6=0
a1+a2=-5 U a1*a2=-6
a1=-6⇒(5x+6)²=-6 нет решения
a2=1⇒(5x+6)²=1
5x+6=-1 U 5x+6=1
5x=-7 U 5x=-5
x=-1,4 U x=-1