解方程,写在纸上发上来,谢谢! (5x-4)/(x-2)-(4x+10)/(3x-6)=-1 x
解方程,写在纸上发上来,谢谢!(5x-4)/(x-2)-(4x+10)/(3x-6)=-1x/(x平方-4)+2/(x+2)=1/(x-2)...
解方程,写在纸上发上来,谢谢!
(5x-4)/(x-2)-(4x+10)/(3x-6)=-1
x/(x平方-4)+2/(x+2)=1/(x-2) 展开
(5x-4)/(x-2)-(4x+10)/(3x-6)=-1
x/(x平方-4)+2/(x+2)=1/(x-2) 展开
3个回答
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(5x-4)/(x-2)-(4x+10)/(3x-6)=-1
两边同乘以3x-6,得到:3(5x-4)-(4x+10)=-(3x-6)
===> 15x-12-4x-10=-3x+6
===> 11x-22=-3x+6
===> 14x=28
===> x=2
而,当x=2时,分母x-2=0无意义
所以,原方程无解
x/(x²-4)+2/(x+2)=1/(x-2)
两边同乘以x²-4,得到:x+2(x-2)=x+2
===> x+2x-4=x+2
===> 2x=6
===> x=3
经检验,x=3是原方程的解
两边同乘以3x-6,得到:3(5x-4)-(4x+10)=-(3x-6)
===> 15x-12-4x-10=-3x+6
===> 11x-22=-3x+6
===> 14x=28
===> x=2
而,当x=2时,分母x-2=0无意义
所以,原方程无解
x/(x²-4)+2/(x+2)=1/(x-2)
两边同乘以x²-4,得到:x+2(x-2)=x+2
===> x+2x-4=x+2
===> 2x=6
===> x=3
经检验,x=3是原方程的解
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1)
(5x-4)/(x-2)-(4x+10)/(3x-6)=-1
(5x-4)/(x-2)-(4x+10)/3(x-2)=-1
[3(5x-4)-(4x+10)]/3(x-2)=-1
3(5x-4)-(4x+10)=-3(x-2)
15x-12-4x-10=-3x+6
14x=28
x=2
经检验x=2,无解
2)
x/(x^2-4)+2/(x+2)=1/(x-2)
[x+2(x-2)]/(x^2-4)=1/(x-2)
x+2(x-2)=(x+2)
3x-4=x+2
2x=6
x=3
(5x-4)/(x-2)-(4x+10)/(3x-6)=-1
(5x-4)/(x-2)-(4x+10)/3(x-2)=-1
[3(5x-4)-(4x+10)]/3(x-2)=-1
3(5x-4)-(4x+10)=-3(x-2)
15x-12-4x-10=-3x+6
14x=28
x=2
经检验x=2,无解
2)
x/(x^2-4)+2/(x+2)=1/(x-2)
[x+2(x-2)]/(x^2-4)=1/(x-2)
x+2(x-2)=(x+2)
3x-4=x+2
2x=6
x=3
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