解方程x^2+(200+0.5x)^2=4X^2

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解方程x^2+(200+0.5x)^2=4X^2

解方程x^2+(200+0.5x)^2=4X^2
解方程x^2+(200+0.5x)^2=4X^2

解方程x^2+(200+0.5x)^2=4X^2
x^2+(200+0.5x)^2=4X^2
(200+0.5x)^2-3x^2=0
(200+0.5x+√3x)(200+0.5x-√3x)=0
200+(0.5+√3)x=0 200+(0.5-√3)x=0
x1=-200/(0.5+√3) =800 (0.5-√3)/11
x2=-200/(0.5-√3) = 800 (0.5+√3)/11

化简可得到11x^2+800x+120000=0,套求根公式得x=400+/-100*根号37