计算(x^2+2x+1/x+2)/(x^2-1/x^2+2x)*(x-1/x),并求当x=-3/2时的值

来源：学生作业帮助网编辑：作业帮时间：2024/05/04 11:00:59

计算(x^2+2x+1/x+2)/(x^2-1/x^2+2x)*(x-1/x),并求当x=-3/2时的值
计算(x^2+2x+1/x+2)/(x^2-1/x^2+2x)*(x-1/x),并求当x=-3/2时的值

计算(x^2+2x+1/x+2)/(x^2-1/x^2+2x)*(x-1/x),并求当x=-3/2时的值
原式=[(x+1)^2/(x+2)]×[x(x+2)/x^2-1)]×[(x^2-1)/x]
=x(x+2)(x+1)^2(x^2-1)/[x(x+2)(x^2-1)]
=(x+1)^2
=(-3/2+1)^2
=1/4

令a=x+1/x
a^2=x^2+2+1/x^2
x^2+1/x^2=a^2-2
所以2a^2-4-3a=1
2a^2-3a-5=0
(2a-5)(a+1)=0
a=5/2,a=-1
x+1/x=5/2
两边乘2x
2x^2-5x+2=0
(2x-1)(x-2)=0
x=1/2,x=2
x+1/x=-1
x^2+x+1=0
无解
x=1/2,x=2

计算：x(x^2+x-1)-(x^2-x+1) 计算：1-2x+x^2/x-x^3*xy+x^2y/x-x^2 计算:[(x^2 - 4)/(x^2 - x - 6) + (x+2)/(x-3)] / (x+1)/(x-3) 计算：x/(x-1)-(x+3)/(x^-1)*(x^2+2x+1)/(x+3) 计算（x-1/x)/(x+1/x-2) 计算：x(x-1)(x+1)(x+2)-24 Lim(x>1) x-1/x^2+x-2.计算计算(x+1)(x+2)(x+3)(x+4) 计算：（x+1)(x-2)(x-3)(x-6) 计算 x(x+3)-(x-1)(x-2）如何计算 (x+1)(x+2)(x+3)(x+4) 计算(X-1)(X-2)(X-3)(X-4) (x-1)(x-2)(x-3)(x-4)-24计算 x/x-3-5x/x^2-x-6计算计算:x/x-2 - 5x/x²-x-6计算:x/x-3 - 5x/x²-x-6 计算:[(x+2)/(x+3) - (x+1)/(x+2) + (x+4)/(x+5) - (x+3)/(x+4) / (x^2 + 7x + 13)/(x^2 + 8x + 15) 1.用公式计算：COSX=1-X*X/2!X*X*X*X/4!-X*X*X*X*X*X/6!.直到最后一项的绝对 x(x-2)(2x-3)计算