方程4(x+1)2−4−8(x+1)2−16−2(x+2)2−1+2(x−2)2−1−6(x−2)2−9＝45的解为x=±522±522．

Question

方程(4)/((x+1)2−4)−(8)/((x+1)2−16)−(2)/((x+2)2−1)+(2)/((x−2)2−1)−(6)/((x−2)2−9)＝(4)/(5)的解为x=

±(5√(2))/(2)

±(5√(2))/(2)

．(4)/((x+1)2−4)−(8)/((x+1)2−16)−(2)/((x+2)2−1)+(2)/((x−2)2−1)−(6)/((x−2)2−9)＝(4)/(5)的解为x=

±(5√(2))/(2)

±(5√(2))/(2)

．(4)/((x+1)2−4)44(x+1)2−4(x+1)2−4(x+1)2−4(x+1)2−42−4(8)/((x+1)2−16)88(x+1)2−16(x+1)2−16(x+1)2−16(x+1)2−162−16(2)/((x+2)2−1)22(x+2)2−1(x+2)2−1(x+2)2−1(x+2)2−12−1(2)/((x−2)2−1)22(x−2)2−1(x−2)2−1(x−2)2−1(x−2)2−12−1(6)/((x−2)2−9)66(x−2)2−9(x−2)2−9(x−2)2−9(x−2)2−92−9(4)/(5)4455

±(5√(2))/(2)

±(5√(2))/(2)(5√(2))/(2)5√(2)5√(2)√(2)

2

222

±(5√(2))/(2)

±(5√(2))/(2)(5√(2))/(2)5√(2)5√(2)√(2)

2

222

Answer 1

原方程化为：4(x−1)(x+3)-8(x−3)(x+5)-2(x+1)(x+3)+2(x−3)(x−1)-6(x−5)(x+1)=45，将分式拆分，得1x−1-1x+3-1x−3+1x+5-1x+1+1x+3+1x−3-1x−1-1x−5+1x+1=45，合并，得1x+5-1x−5=45，去分母，整理得4x2=50，...