0.5 0.4x 2.1-0.03 0.5-0.2x=0.6解方程-搜答案-搜搜考试网

要使根号(x2+2x+4)-根号(x2-x+1)

(x²+1)²-4x(x²-1)=（x²-1）²-4x(x²-1)+4x²=（x²-1-2x）²（x^4-2x

x²-4(x-1)=x²-4x+4=(x-2)²

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

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

2^5-5x2^4+10x2^3-10x2^2+5x2-1＝（2－1）^5=1再问：有过程吗再答：晕，这是二项式的展开式啊，就这样:(a+b)^n=a^n+C(n,1)a^(n-1)b+C(n,2)a

√（x2+6x+9）+√（x2-2x+1）-√（x2-4x+4）=√(x+3)²+√(x-1)²-√(x-2)²=|x+3|+|x-1|-|x-2|①当x≤-3时,原式=

(x^2+1)^2-4x(x^2-1)=(x^2-1)^2-4x(x^2-1)+4x^2=[x^2-1-2x]^2

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

1

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)&

原式=2x2-1，当x=-3时，原式=2×（-3）2-1=17．

14x^2-4x+1=0=>x^2+1=4x=>(x^2+1)^2=16x^2=>x^4+1=14x^2---------①x^2+(1/x^2)=(1/x^2)(x^4+1)----------②把

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.

@exp(x1)

√x2+2x+工,工不是数学语言,无意义；√-x2-4x-5,x2是非负数,-x2是非正数.只有当x=0时有意义；√18,等于3√2,有意义；√-1-x2,√-1是虚数,在实数范围内无意义.

-27x^3+8=2^3-(3x)^3=(2-3x)(4+6x+9x^2)(x^2-5x+2)(x^2-5x+4)-24=(x^2-5x)^2+6(x^2-5x)+8-24=(x^2-5x)^2+6(

提取公因式(x1-x2)原式=(x1-x2)]1-4/x1x2]

解题思路：这个是因式分解问题。由完全平方公式，再应用换元法可以得到结果.解题过程：

原式=2x/[(x-2)(x+1)]*(x+1)/(x-1)-x(x+2)/[(x+2)(x-2)]=2x/[(x-2)(x-1)]-x/(x-2)=[2x-x(x-1)]/[(x-2)(x-1)]=