Question

X分之X+1+X平方+X分之M=X+1分之2X有增根,求M

Answer 1

(X+1) / X + M / (X^2+X) = 2X / (X+1)

(X+1) / X + M / (X^2+X) - 2X / (X+1) = 0

{ (X+1)^2 + M - 2X ^2 } / { x(x+1) } = 0

(-X^2+2X+1+ M) / { x(x+1) } = 0

有增根,即x=0,或x=-1

X=0代入-X^2+2X+1+ M = 0,得M=-1

X=-1代入-X^2+2X+1+ M = 0,得M=2

故M = -1 ,或2