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aiignatyeva
@aiignatyeva
July 2022
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Решить уравнение
(2х-3)^4-23(2х-3)^2-468=0
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sedinalana
Verified answer
(2x-3)²=a
a²-23a-468=0
D=529+1872=2401
√D=49
a1=(23-49)/2=-13⇒(2x-3)²=-13 нет решения
a2=(23+49)/2=36⇒(2x-3)²=36
2x-3=-6 U 2x-3=6
2x=-3 U 2x=9
x=-1,5 U x=4,5
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Answers & Comments
Verified answer
(2x-3)²=aa²-23a-468=0
D=529+1872=2401
√D=49
a1=(23-49)/2=-13⇒(2x-3)²=-13 нет решения
a2=(23+49)/2=36⇒(2x-3)²=36
2x-3=-6 U 2x-3=6
2x=-3 U 2x=9
x=-1,5 U x=4,5