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ДженниЛенни
@ДженниЛенни
July 2022
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решите уравнение
logₓ(2x²+x-2)=3
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Answers & Comments
irishkax1
Logx(2x^2+x-2)=logx(x^3)
2x^2+x-2=x^3
x^3-2x^2-x+2=0
x^2(x-2)-(x-2)=0
(x-2)(x^2-1)=0
(x-2)(x-1)(x+1)=0
x=2; x=1; x= -1.
ОДЗ: x>0.
Ответ: 1; 2.
2 votes
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Answers & Comments
2x^2+x-2=x^3
x^3-2x^2-x+2=0
x^2(x-2)-(x-2)=0
(x-2)(x^2-1)=0
(x-2)(x-1)(x+1)=0
x=2; x=1; x= -1.
ОДЗ: x>0.
Ответ: 1; 2.