3x 2.4x=10.8-搜答案-智慧作业帮

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&#

:(1)2x2-5x+x2+4x,其中x=-3=3x²-x=3x(-3)²+3=27+3=30(2)(3x2-xy-2y2)-2(x2+xy-2y2),其中x=6,y=-1=3x&

1/(x²+3x+2)=[(x+2)-(x+1)]/(x+1)(x+2)=1/(x+1)-1/(x+2)同理1/(x²+5x+6)=1/(x+2)-1/(x+3)1/(x²

∵x2+4x-5=0，∴x2+4x=5，∴3x2+12x-5=3（x2+4x）-5=3×4-5=7．故答案为7．

等式两边同时乘以(x+3)(x-2)(x+2)就可以去分母了

(2x^2-4x-3)/(x^2-2x-1)-3=0{(2x^2-4x-3)-3(x^2-2x-1)}/(x^2-2x-1)-=0{-x^2+2x}/(x^2-2x-1)=0-x(x-2)/(x^2-

2x+5x+3+4-x/2+2x+x-2=019x/2=-5x=-19/10检验：带入x是、原式=0

原式=3x2+2x2-3x+4x-5x2=x，当x=2010时，原式=2010．

1/(x2+x)+1/(x2+3x+2)+1/(x2+5x+6)+1/(x2+7x+12)=1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+3)(x+4)=1/x-1/

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

解方程：x2-6x+2x2-6x=3x2-3x-3-9x=-3x=1/3解不等式：2x3-6x2+4x2-4x≥2x3-2x2+5x-39x-3≤0x≤1/3

原式=[x+2x(x-2)-x-1(x-2)2]÷x2-16x2+4x=[x2-4x(x-2)2-x2-xx(x-2)2]÷x2-16x2+4x=x-4x(x-2)2•x(x+4)(x+4)(x-4)

x/(x²-3x+1)=2(x²-3x+1)/x=1/2翻过来x+1/x=7/2(x^4+x2+1)/x²翻过来=x²+2+1/x²=(x+1/x)&

（1）A=4（2-x2）-2x，B=2x2-x+3．A-2B=4（2-x2）-2x-2（2x2-x+3）=-8x2+2当x=14时，A-2B=-8×（14）2+2=32；（2）A=4（2-x2）-2x

原式=2x2-1，当x=-3时，原式=2×（-3）2-1=17．

原式=5x²-x²-(4x-x²)+2(x²-3x)=4x²-4x+x²+2x²-6x=7x²-10x

即(x²+4x+4)+(y²-6y+9)=0(x+2)²+(y-3)²=0所以x+2=y-3=0x=-2,y=3所以原式=(4+4)/(4+27)=8/31

对分母x^4+x^2+1进行因式分x^4+x^2+1=x^4+2x^2+1-x^2=(x^2+1)^2-x^2=(x^2+x+1)(x^2-x+1),又因为x^2-3x+1=0,所以x^2=3x-1.

由题意得：x2-x=2-4x+4x2-10=4（x2-x）-10=-2故填-2．

M={x|x(x-2)>0}={x|x2}N={x|(x-1)(x-3)