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已知x^2+x+1分之x=-2分之1 求 x^2-x+1分之2x^2+x^3-1分之x-1的值
解方程(x+2分之x+3)(x+3分之x+4)=(x+4分之x+5)+(x+1分之x+2)
人气:275 ℃ 时间:2020-05-23 14:41:26
解答
x/(x^2+x+1)=-1/2
即-2x=x^2+x+1
x^2+3x+1=0
(x-1)/(2x^2+x^3-1)/(x^2-x+1)
= (x-1)/(2x^2+x^3-1)(x^2-x+1)
= (x-1)/[2x^2+x(-3x-1)-1](-3x-1-x+1)
= (x-1)/[2x^2-3x^2-x-1](-4x)
= (x-1)/(-x^2-x-1)(-4x)
= (x-1)/(3x+1-x-1)(-4x)
= (x-1)/2x(-4x)
= (1-x)/8x^2
=(1-x)/8(-3x-1)
=(x-1)/8(3x+1)
到这里就化简不了了,你好好看看你哪里弄错了吧!
[x+(x+3)/2][x+(x+4)/3]=[x+(x+5)/4]+(x+2)/(x+1)
你看看 你打的那个是我上面的那个不?好好看看解方程的题目打错了 解方程(x+2分之x+3)+(x+3分之x+4)=(x+4分之x+5)+(x+1分之x+2)(x+3)/(x+2)+(x+4)/(x+3)=(x+5)/(x+4)+(x+2)/(x+1))](首先确保x≠-1,-2,-3,-4)1+1/(x+2)+1+1/(x+3)=1+1/(x+4)+1+1/(x+1)1/(x+2)+1/(x+3)=1/(x+4)+1/(x+1)(x+2+x+3)/[(x+2)(x+3)]=(x+4+x+1)/[(x+4)(x+1)](2x+5)/[(x+2)(x+3)]=(2x+5)/[(x+4)(x+1)]当2x+5=0时即x=-5/2时,上式成立当2x+5≠0时,则上式两边同时除以2x+5得1/[(x+2)(x+3)]=1/[(x+4)(x+1)](x+2)(x+3)=(x+4)(x+1)x平方+5x+6=x平方+5x+4此时无解 故此方程的解为x=-5/2
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