3(x 2.1)=10.5解方程
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令a=x+1/x两边平方a²=x²+2+1/x²所以x²+1/x²=a²-2所以2(a²-2)-3a-1=02a²-3a
两边同乘x^2-1.3-3x=x^2-1,x^2+3x-4=0.(x+4)(x-1)=0.x=-4或x=1
设(x²-1)/(x²+2x)=t则8t+3/t=118t²-11t+3=0(8t-3)(t-1)=0解得t=3/8或t=11.t=3/8(x²-1)/(x
后面的x²+11x-708有误吧!再问:没有题目就这样能不能帮我再答:那我就试试:原式为:1/x2+x+1/x2+3x+2+1/x2+5x+6+1/x2+7x+12+1/x2+9x+20=5
1.令t=x+1/x则t^2=x^2+1/x^2+2代入方程:2(t^2-2)-3t-1=02t^2-3t-5=0(2t-5)(t+1)=0t=5/2,-1当t=5/2时,由x+1/x=5/2得x=2
3/x2=1/x2-x即3*2-3x=x*22x*2=3Xx=0(舍去)x=3/2
x^2-3x-1=0a=1b=-3 c=-1△=b^2-4ac=3^2-4*-1=13两个根为,所以X1=(3+根号13)/2 X2=(3-根号
方程两边同时乘以x(x+1)(x-1)得:5(x-1)+3(x+1)=7x解得:x=2检验:x(x+1)(x-1)=6所以x=2是原分式方程的解
原式可化为1/(x+1)(x-3)+2/(x-3)((x+2)+3/(x+1)(x+2)=0两边同乘以:(x+1)(x+2)(x-3)得:(x+2)+2(x+1)+3(x-3)=0(x≠-1,x≠-2
令a=x2+x(a+1)(a+12)=42a2+13a+12=42a2+13a-30=0(a+15)(a-2)=0a=-15,a=2x2+x=-15x2+x+15=0无解x2+x=2x2+x-2=(x
(x2-x)=3(x2+x)x2-x=3x2+3xx2-3x2-x-3x=0-2x2-4x=0-2x(x+2)=0x1=0x2=-2
7/(x+x2)-3/(x-x2)=6/(x2-1)两边同乘以x(x+1)(x-1),得7(x-1)+3(x+1)=6x7x-7+3x+3=6x10x-6x=3-74x=-4x=-1经检验x=-1是增
(1)∵x2+3x+1=0,∴a=1,b=3,c=1,∴b2-4ac=9-4=5>0,∴x=−3±52,∴x1=−3+52,x2=−3−52;(2)∵-2是x2-4x+m=0的一个根,∴4+8+m=0
令x²+x=t原方程变为t+1=6/tt²+t-6=0(t+3)(t-2)=0则t=2或-31)x²+x=2x²+x-2=0(x+2)(x-1)=0x=-2或x
x2+x+1=2/(x2+x)(X²+x)²+(x²+x)-2=0(x²+x+2)(x²+x-1)=0∴x²+x-1=0x=(-1±√5)/
两边乘x(x+1)(x-1)2(x-1)+3(x+1)=4x2x-2+3x+3=4x5x+1=4xx=-1经检验,x=-1时分母x+1=0增根,舍去方程无解
(x²+x)(x²+x-2)=-1把(x²+x)看成整体(x²+x)[(x²+x)-2]=-1运用乘法分配率(x²+x)²-2(x
x²+x-1/(x²+x)=3/2两边同时乘以(x²+x)得:(x²+x)²-1=3(x²+x)/22(x²+x)²-3
∵x2+3=3(x+1)∴x2+3=3x+3∴x2-3x=0∵x(x-3)=0∴x1=0,x2=3.
通分:(x^2-3x)+(2x-1)(x+1)=0化简:3x^2-2x-1=0x1=1(舍去,分母不为0)x2=-1/3