解方程(x^2-10x+15)/(x^2-6x+15)=3x/(x^2-8x+15)

问题描述:

解方程(x^2-10x+15)/(x^2-6x+15)=3x/(x^2-8x+15)

无解。

交叉相乘有(x^2-8x+15)^2-2x(x^2-8x+15)=3x(x^2-8x+15)+6x^2(x^2-8x+15)^2-5x(x^2-8x+15)-6x^2=0十字相乘(整体)有:(x^2-8x+15-6x)(x^2-8x+15+x)=0(x^2-14x+15)(x^2-7x+15)=0计算这两个二次方程,有x1=7+√34x2=7-...