解方程(x+1)\/(x-2)+(x-1)\/(x-3)=(x-3)\/(x-4)+(x+3)\/(x-1)
先通分,不用乘开来。得到 ((x+1)(x-3)+(x-1)(x-2))\/(x-2)(x-3)=((x-3)(x-1)+(x+3)(x-4))\/(x-1)(x-4)斜对角分别相乘。得到新式移项 得到(x-3)(x-4)(-x+5)=(X-1)(X-2)(-X-5)再约掉-x-5 后面不用我说了吧 这种问题不要怕,看到...
解方程:(x-1)\/(x-2)-(x-3)\/(x-4)=(x-2)\/(x-3)(x-4)\/(x-5)
拆项: 1+1\/(x-2)-1-1\/(x-4)=1+1\/(x-3)-1-1\/(x-5)合并: 1\/(x-2)-1\/(x-4)=1\/(x-3)-1\/(x-5)-2\/[(x-2)(x-4)]=-2\/[(x-3)(x-5)](x-2)(x-4)=(x-3)(x-5)x^2-6x+8=x^2-8x+15 2x=7 x=3.5 经检验,它是原方程的根 ...
解方程:(x-1)\/(x-2)-(x-3)\/(x-4)=(x-2)\/(x-3)(x-4)\/(x-5)
拆项:1+1\/(x-2)-1-1\/(x-4)=1+1\/(x-3)-1-1\/(x-5)合并:1\/(x-2)-1\/(x-4)=1\/(x-3)-1\/(x-5)-2\/[(x-2)(x-4)]=-2\/[(x-3)(x-5)](x-2)(x-4)=(x-3)(x-5)x^2-6x+8=x^2-8x+15 2x=7 x=3.5 经检验,它是原方程的根 ...
解方程 (x+1)\/3-(x+2)\/4=(2x+1)\/3-(x-1)\/4
4(x+1)-3(x+2)=4(2x+1)-3(x-1)x-2=5x+7 -4x=9 x=-9\/4
解方程(x+1)(x²+x+1)-(x-1)(x²-x+1)=(4x+3)(x-2)
只能直接计算:[(x^3)+(x^2)+x+(x^2)+x+1]-[(x^3)-(x^2)+x-(x^2)+x-1]=(4x+3)(x-2)[(x^3)+(2x^2)+2x+1]-[(x^3)-(2x^2)+2x-1]=4x^2 -5x-6 4x^2 +2=4x^2 -5x-6 5x=-8 解得 x=-8\/5 即 方程的解是负五分之八 ...
解方程:(x+1)(x²+x+1)-(x-1)(x²-x+1)=(4x+3)(x-2)
(x+1)(x²+x+1)-(x-1)(x²-x+1)=(4x+3)(x-2)(x+1)(x²-x+1+2x)-(x-1)(x²+x+1-2x)=(4x+3)(x-2)(x+1)(x²-x+1)+2x(x+1)-(x-1)(x²+x+1)+2x(x-1)=(4x+3)(x-2)x^3+1+2x(x+1)-(x^3-1)+2x(x-1)=(...
解方程(x-1\/x+1)+(x-4\/x+4)=(x-2\/x+2)+(x-3\/x+3)
正确先化简成 1\/ (x+1)+ 4 \/ (x+4) = 2 \/ (x+2) + 3\/ (x+3)移项 x \/ (x+3)(x+4) = x \/ (x+1)(x+2)解得 x=0 或 -5\/2
(x+2\/x+1)-(x+3\/x+2)=(x+4\/x+3)-(x+5\/x+4)解方程
解: (1)计算 (x+1)(x+2)=x2+3x+2 (x-1)(x-2)=x2-3x+2 (x-1)(x+2)=x2+x-2 (x+1)(x-2)=x2-x+2 (2)特征:计算出的结果二次项x2的序数为1,常数项为常数之积,一次项x的序数为常数之和,用公式表示如下: (x+a)(x+b)=x2+(a+b)x+ab (3)(x+a)(x...
解方程:(x+1)\/(x+2)-(x+2)\/(x+3)=1\/(x+7)-1\/(x+6)
x+2)(x+3)(x+6)(x+7)得:de(ac-bb)=bc(d-e)这时把原公式代入.把括号内的公式分解开并得出:de=bc,也就是(x+6)(x+7)=(x+2)(x+3)公式两边同时分解得出:8x=-36 于是得出X的解为:x=-9\/2 验算:将x=-9\/2代入原公式,公式两边同等于-4\/15.所以,答案为:x=-9\/2 ...
解方程数学问题x+1\/x+2+x+2\/x+3=x+3\/x+4+x+4\/x+5
解:1-1\/﹙x+2﹚+1-1\/﹙x+3﹚=1-1\/﹙x+4﹚+1-1\/﹙x+5﹚1\/﹙x+2﹚+1\/﹙x+3﹚=1\/﹙x+4﹚+1\/﹙x+5﹚1\/﹙x+2﹚-1\/﹙x+4﹚=1\/﹙x+5﹚-1\/﹙x+3﹚2\/﹙x²+6x+8﹚=﹣2\/﹙x²+8x+15﹚x²+8x+15=﹣x²-6x...