xˇ4-10xˇ2+24=0求解

问题描述:

xˇ4-10xˇ2+24=0求解

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

(x^2-4)(x^2-6)=0

x^2=4,则x1=-2、x2=2

x^2=6,则x3=-√6、x4=√6






.谢谢。可我不是很懂。!(x²-4)(x²-6)=0这个是怎么化简得出来的?能再详细点麽1)x^4-10x^2+24用十字相乘法x^2 -4x^2 -6____________-6x^2-4x^2=-10x^2 所以x^4-10x^2+24=(x^2-4)(x^2-6)2)x^4-10x^2+24 =(x^4-4x^2)-(6x^2-24) =x^2(x^2-4)-6(x^2-4) =(x^2-4)(x^2-6)