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kikisuki2000
@kikisuki2000
July 2022
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Решить уравнение
(х^2+3х)(х^2+3х-2)=8
^ -- это знак степени
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sedinalana
Verified answer
X²+3x=a
a(a-2)=8
a²-2a-8=0
a1+a2=2 U a1*a2=-8
a1=-2⇒x²+3x=-2
x²+3x+2=0
x1+x2=-3 U x1*x2=2
x1=2 U x2=-1
a2=4⇒x²+3x=4
x²+3x-4=0
x1=x2=-3 u x1*x2=-4
x1=-4 U x2=1
Ответ x={-4;-1;1;2}
0 votes
Thanks 0
rossa1783
Х^2+3х=t
t*(t-2)=8
t^2-2t-8=0
1. t1=-2
x^2+3x=-2
x^2+3x+2=0
x1=-1
x2=-2
2. t2=4
x^2+3x=4
x^2+3x-4=0
x3=1
x4=-4
Ответ: х1=-1; х2=-2;
х3=1; х4=-4.
0 votes
Thanks 0
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Answers & Comments
Verified answer
X²+3x=aa(a-2)=8
a²-2a-8=0
a1+a2=2 U a1*a2=-8
a1=-2⇒x²+3x=-2
x²+3x+2=0
x1+x2=-3 U x1*x2=2
x1=2 U x2=-1
a2=4⇒x²+3x=4
x²+3x-4=0
x1=x2=-3 u x1*x2=-4
x1=-4 U x2=1
Ответ x={-4;-1;1;2}
t*(t-2)=8
t^2-2t-8=0
1. t1=-2
x^2+3x=-2
x^2+3x+2=0
x1=-1
x2=-2
2. t2=4
x^2+3x=4
x^2+3x-4=0
x3=1
x4=-4
Ответ: х1=-1; х2=-2;
х3=1; х4=-4.