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VOLKOVA2013
@VOLKOVA2013
August 2022
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Решение целого уравнения
(х^2+x)(x^2+x-5)=84
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m11m
Замена y=x² +x
y(y-5)=84
y² -5y-84=0
D=25+336=361
y₁=(5-19)/2= -7
y₂=(5+19)/2=12
При у= -7
x² +x= -7
x² +x+7=0
D=1-28<0
нет решений.
При у=12
x² +x=12
x² +x-12=0
D=1+48=49
x₁ = (-1-7)/2= -4
x₂ = (-1+7)/2=3
Ответ: -4; 3.
3 votes
Thanks 7
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Answers & Comments
y(y-5)=84
y² -5y-84=0
D=25+336=361
y₁=(5-19)/2= -7
y₂=(5+19)/2=12
При у= -7
x² +x= -7
x² +x+7=0
D=1-28<0
нет решений.
При у=12
x² +x=12
x² +x-12=0
D=1+48=49
x₁ = (-1-7)/2= -4
x₂ = (-1+7)/2=3
Ответ: -4; 3.