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marimiss2002
@marimiss2002
July 2022
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Решите рациональные уравнения
1 )1/x+8 + 1/x-8=- 1/8-x
2)2x-1/x+2+3x-1/x+2
3)z+1/z-1-9/z+4=2/z-1
4)4-x/x (2) +2x+ 1/x (2)-2x=2/x (2)-4
(2)- квадрат
/-дробь
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sedinalana
Verified answer
1
1/(x+8) +1/(x-8)=1/(x-8)
1/(x+8)=0
нет решения
3
(z+1)/(z-1)-9/(z+4)=2/(z-1)
z≠1,z≠-4
(z+1)(z+4)-9(z-1)=2(z+4)
z²+4z+z+4-9z+9-2z-8=0
z²-6z+5=0
z1+z2=6 U z1*z2=5
z1=1 не удов усл
z2=5
4
(4-x)/(x²+2x)+1/(x²-2x)=2/(x²-4)
(4-x)/x(x+2)+1/x(x-2)=2/(x-2)(x+2)
x≠0,x≠2.x≠-2
(4-x)(x-2)+1*(x+2)=2*x
4x-8-x²+2x+x+2-2x=0
x²-5x+6=0
x1+x2=5 U x1*x2=6
x1=2 не удов усл
х2=3
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marimiss2002
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Answers & Comments
Verified answer
11/(x+8) +1/(x-8)=1/(x-8)
1/(x+8)=0
нет решения
3
(z+1)/(z-1)-9/(z+4)=2/(z-1)
z≠1,z≠-4
(z+1)(z+4)-9(z-1)=2(z+4)
z²+4z+z+4-9z+9-2z-8=0
z²-6z+5=0
z1+z2=6 U z1*z2=5
z1=1 не удов усл
z2=5
4
(4-x)/(x²+2x)+1/(x²-2x)=2/(x²-4)
(4-x)/x(x+2)+1/x(x-2)=2/(x-2)(x+2)
x≠0,x≠2.x≠-2
(4-x)(x-2)+1*(x+2)=2*x
4x-8-x²+2x+x+2-2x=0
x²-5x+6=0
x1+x2=5 U x1*x2=6
x1=2 не удов усл
х2=3