Question

X的4次方减15乘X的平方加10X加24等于0

Answer 1

x^4-15x^2+10x+24=0

x^4-15x^2+44+10x-20=0

(x²-11)(x²-4)+10(x-2)=0

(x+2)(x-2)(x²-11)+10(x-2)=0

(x-2)(x³+2x²-11x-12)=0

(x-2)[x(x+1)²-12(x+1)]=0

(x-2)(x+1)(x²+x-12）=0

(x-2)(x+1)(x+4)(x-3)=0

x1=2

x2=-1

x3=-4

x4=3