(求解、x+5)/(x-1)-(3x-3)/(x+5)=(8x+28)/(x^2+4x-5)-2
问题描述:
(求解、x+5)/(x-1)-(3x-3)/(x+5)=(8x+28)/(x^2+4x-5)-2
答
(x+5)/(x-1)-(3x-3)/(x+5)=(8x+28)/(x^2+4x-5)-2
左、右两边通分
((x+5)^2-3(x-1)^2)/((x-1)(x+5))=((8x-28)-2(x^2+4x-5))/((x-1)(x+5))
(x+5)^2-3(x-1)^2)=(8x-28)-2(x^2+4x-5)
x^2+10x+25-3x^2+6x-3=8x-28-2x^2-8x+10
-2x^2+16x-22=-2x^2+38
16x=16
x=1
答
(x+5)/(x-1)-(3x-3)/(x+5)=(8x+28)/(x^2+4x-5)-2(x+5)/(x-1)-(3x-3)/(x+5)-(8x+28)/(x^2+4x-5)=-2 (x+5)^2/(x-1)(x+5)-3(x-1)^2/(x+5)-(8x+28)/(x+5)(x-1)=-2 [(x+5)^2-3(x-1)^2-(8x+28)]/(x+5)(x-1)=-2 [x^2+10x+25...