(9+r)²=(9-r)²+(r-9)²求解这个方程

问题描述:

(9+r)²=(9-r)²+(r-9)²求解这个方程

(9+r)²=(9-r)²+(r-9)²81+18r+r²=81-18r+r²+r²-18r+81整理得:r²-54r+81=0配方得:(r-27)²-27²+81=0(r-27)²=648r-27=±√648r=27±18√2