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

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

解方程(x^2-10x+15)/(x^2-6x+15)=3x/(x^2-8x+15)
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+√34
x2=7-√34
(x^2-7x+15)无实数解.

无解。