(r+3.5)^2+(r+5)^2=(2r)^2 求r=?
问题描述:
(r+3.5)^2+(r+5)^2=(2r)^2 求r=?
答
(r+3.5)^2+(r+5)^2=(2r)^2
(r^2 + 7r + 12.25)+ ( r^2 + 10r + 25) = 4r^2
2 r^2 - 17 r - 37.25 = 0
r = {17 ±√[17^2 - 4×2×(-37.25)]} / (2×2)
= (17 ±√587) / 4r ={17 ±√[17^2 - 4×2×(-37.25)]} / (2×2)这步是怎么推出来的?谢谢一元二次方程的公式解法。一般一元二次方程如下:aX^2 + bX + c = 0其中 a b c 为系数,其解为:X = {-b±√(b^2-4ac)} / 2a