(x-2)/(x+2)+16/(4-x^2)=(x+2)/(x-2)

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(x-2)/(x+2)+16/(4-x^2)=(x+2)/(x-2)
(x-2)/(x+2)+16/(4-x^2)=(x+2)/(x-2)

(x-2)/(x+2)+16/(4-x^2)=(x+2)/(x-2)
方程两边同时乘以4-x^2得,－(x-2)^2＋16=－(x+2)^2,整理得
x^2=8,x=±2倍根号2,经检验,不是增根．

X= -2

16/(4-x^2)=0 得16/(2-x)(2+x) =0 (2-x)(2+x) =0 得x=2或-2

(x-2)/(x+2)-16/[(x+2)(x-2)]=(x+2)/(x-2)
方程的左右两边同乘以(x+2)(X-2)
x^2-4x+4-16=x^2+4x+4
-8x=16
...

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(x-2)/(x+2)-16/[(x+2)(x-2)]=(x+2)/(x-2)
方程的左右两边同乘以(x+2)(X-2)
x^2-4x+4-16=x^2+4x+4
-8x=16
x=-2
检验：
把x=-2分别带入原方程的左右两边
因为分母不能为0
所以原方程无实数根

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*-----------------------------------------------*| 6 4 X | 8 X X | X X 5 || X X X | X X X | X 7 8 || X X X | X X X | X X X ||---------------+---------------+--------------- || X X X | X X X | 5 1 X || X X X | X 6 X | X X X || 8 X X | 3 5 X | 2 X X || (x/x-2-x/x+2)/4x/x-2 1/(1-x)+1/(1+x)+2/(1+x*x)+4/(1+x*x*x*x)+8/(1-x*x*x*x*x*x*x*x)怎么做 (x-2)(x+2)(x^4+4x^2+16) (x-2)(x+2)(x^2+4)(x^4+16) (x-2)(x^2+4)(x^4+16)(x+2) (x^2 + 4x)(x^2 + 4x+8)+16 (x^2-4x)(x^2-4x+8)+16 x^2-8x+16分之x^2-4x （x^2-4x）/x^2-8x+16 16x^4-4x^2+x)/x=? （16x^4+4x^2+x）/x=? 因式分解：(X+2)(X+4)(X+6)(X+8)+16 （x+2)(x-2)+16 (x-1)(x-2)+3x（x+3）-4（x+2)(x-3)（x+2)(x-2)+16 (x-1)(x-2)+3x（x+3）-4（x+2)(x-3) 计算(x+/1x)(x^2+1/x^2)(x^4+1/x^4)(x^8+1/x^8)(x^16+1/x^16)(x^2-1) (x+1/x)(x^2+1/x^2)(x^4+1/x^4)(x^8+1/x^8)(x^16+1/x^16)(x^2-1) (x+x^-1)(x^2+x^-2)(x^4+x^-4)(x^8+x^-8)(x^16+x^-16)(x^2-1)=? (x^2-8x+16)/(4-x^2)/(16-x^2)/(4+4x+x^2)