X的4次方减15X平方加10X 加24等于0_数学解答

X的4次方减15X平方加10X 加24等于0

人气：335 ℃　时间：2020-03-17 20:03:40

解答

X^4-15X^2+10X+24=0(X^4-10X^2+24)-5X(X-2)=0(X-2)(X+2)(X^2-6)-5X(X-2)=0(X-2)(X^3+2X^2-11X-12)=0(X-2)(X^3+2X^2-15X+4X-12)=0(X-2)[X(X-3)(X+5)+4(X-3)]=0(X-2)(X-3)(X^2+5X+4)=0X=1,X=3,X=-1,X=-4