y=x 4/x-3-8/2-x=20.5怎么解
4/x-3-8/2-x=20.5怎么解
4/x-3-8/2-x=20.5怎么解
两边乘2(x-3)(x-2)
8(x-2)+16(x-3)=41(x-3)(x-2)
24x-64=41x²-205x+246
41x²-229x+310=0
x=(229-√1601)/82,x=(229+√1601)/82
解下列方程:(1)x-3/x-2+1=3/2-x;(2)14/x+8=4/x+10/3x+24.
(1)
两边同乘以x-2,得
x-3+x-2=-3
2x=2
x=1
经检验x=1是方程的根。
(2) 两边同乘以x(3x+24),得
42x=4(3x+24)+10x
42x=12x+96+10x
20x=96
x=4.8
经检验x=4.8是方程的根。
4/3(1/4x-1)-2-x=2
4/3(1/4x-1)-2-x=2
4/3(1/4x-1)-2=2+x
4/3(1/4x-1)=4+x
4(1/4x-1)=12+3x
x-4=12+3x
2x=-16
x=-8
4/3(1/4X-1)-2-X=2
4/3(1/4X-1)-2-X=2
1/3X-4/3-2-X=2
2/3X=-10/3
X=-5
8/ 2/3 x = 4/5 怎么解?
8÷2/3 x = 4/5
2/3x=8÷4/5
x=10÷2/3
x=15
解下列分式方2/x^2+x+3/x^2-x=4/x^2-1
2/x(x+1)+3/x(x-1)=4/(x+1)(x-1)
两边乘x(x+1)(x-1)
2x-2+3x+3=4x
5x+1=4x
x=-1
经检验,x=-1时公分母x(x+1)(x-1)=0
是增根,舍去
所以方程无解
5/2x+4-1/2-x=4/x^2-4怎么做?
5/(2x+4)-1/(2-x)=4/(x²-4)
两边同乘以2(x+2)(x-2)
5(x-2)+2(x+2)=8
5x-10+2x+4=8
7x=14
x=2
计算【(x+2)/(x^2)-4】-【4/(2-x)】
(x+2)/((x+2)(x-2))+4/(x-2)
=1/(x-2)+4/(x-2)
=5/(x-2)
8/9-2x=4/3怎么解
8/9 - 4/3 = 2x
8/9 - 12/9 = 2x
-(4/9) = 2x
所以 x = -(2/9)

5/(2x+4)-1/(2-x)=4/(xx-4)求解
5/(2x+4)-1/(2-x)=4/(xx-4) 5/2(x+2)+1/(x-2)=4/(x+2)(x-2) 5(x-2)+2(x+2)=8 5x-10+2x+4=8 7x=14 x=2 经检验,x=2是原方程的增根,原方程无解