X∧4-15∧2+10X+24=0要详细的步骤,谢谢合作~~!
问题描述：
X∧4-15∧2+10X+24=0
要详细的步骤,谢谢合作~~!
答
你确定你没写错
你第二个15后面少写了x吧
答
x^4-15x^2+10x+24
=(x^4-4x^2)-(11x^2-10x-24)
=x^2(x+2)(x-2)-(11x+12)(x-2)
=(x-2)(x^3+2x^2-11x-12)
=(x-2)(x^3+x^2+x^2-11x-12)
=(x-2)[x^2(x+1)+(x+1)(x-12)]
=(x-2)(x+1)(x^2+x-12)
=(x-2)(x+1)(x+4)(x-3)=0
x1=2,x2=-1,x3=-4,x4=3