X的4次方减15乘X的平方加10X加24等于0

网友回答

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=2x2=-1x3=-4x4=3======以下答案可供参考======
供参考答案1:
(x-3)(x-2)(x+1)(x+4)=0
x1=3x2=2x3=-1x4=-4供参考答案2:
x∧4－15x²+10x+24=0
(x∧4-16x²)+(x²+10x+24)=0
x²(x²-16)+(x²+10x+24)=0
x²(x+4)(x-4)+(x+6)(x+4)=0
(x+4)(x²(x-4)+(x+6))=0
(x+4)(x³-4²+x+6)=0
(x+4)(x³-4x²+4x-3x+6)=0
(x+4)(x(x²-4x+4)-3(x-2))=0
(x+4)(x(x-2)²-3(x-2))=0
(x+4)(x-2)(x(x-2)-3)=0
(x+4)(x-2)(x²-2x-3)=0
(x+4)(x-2)(x-3)(x+1)=0