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tea74
@tea74
December 2021
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Номер 225а, и 228а,в. Заранее спасибо!
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sedinalana
Verified answer
225а
(3b²+1)/2b+8b/(3b²+1)=4
(3b²+1)/2b=a
a+4/a-4=0
a²-4a+4=0
(a-2)²=0
a=2
(3b²+1)/2b=2
3b²+1-4b=0
D=16-12=4
b1=(4-2)/6=1/3
b2=(4+2)/6=1
228a
1/(x²+1)-1/(x²+8)=7/8
x²+1=a
1/a-1/(a+7)=7/8
8(a+7-a)=7a(a+7)
7a²+49a-56=0
a²+7a-8=0
a1+a2=-7 U a1*a2=-8
a1=-8⇒x²+1=-8⇒x²=-9 нет решения
a2=1⇒x²+1=1⇒x²=0⇒x=0
228в
1/(x²+3x)-1/(x²+3x+2)=1/60
x²+3x=a
1/a-1/(a+2)=1/60
60(a+2-a)=a(a+2)
a²+2a-120=0
a1+a2=-2 U a1*a2=-120
a1=-12⇒x²+3x=-12
x²+3x+12=0
D=9-48=-37<0 нет решения
a2=10⇒x²+3x=10
x²+3x-10=0
x1+x2=-3 U x1*x2=-10
x1=-5 U x2=2
2 votes
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Answers & Comments
Verified answer
225а(3b²+1)/2b+8b/(3b²+1)=4
(3b²+1)/2b=a
a+4/a-4=0
a²-4a+4=0
(a-2)²=0
a=2
(3b²+1)/2b=2
3b²+1-4b=0
D=16-12=4
b1=(4-2)/6=1/3
b2=(4+2)/6=1
228a
1/(x²+1)-1/(x²+8)=7/8
x²+1=a
1/a-1/(a+7)=7/8
8(a+7-a)=7a(a+7)
7a²+49a-56=0
a²+7a-8=0
a1+a2=-7 U a1*a2=-8
a1=-8⇒x²+1=-8⇒x²=-9 нет решения
a2=1⇒x²+1=1⇒x²=0⇒x=0
228в
1/(x²+3x)-1/(x²+3x+2)=1/60
x²+3x=a
1/a-1/(a+2)=1/60
60(a+2-a)=a(a+2)
a²+2a-120=0
a1+a2=-2 U a1*a2=-120
a1=-12⇒x²+3x=-12
x²+3x+12=0
D=9-48=-37<0 нет решения
a2=10⇒x²+3x=10
x²+3x-10=0
x1+x2=-3 U x1*x2=-10
x1=-5 U x2=2