两边乘以ab(a-b)得b(a-b)+a(a-b)-ab=0a2-ab-b2=0b2+ab-a2=0 两边除以a2(b/a)2+(b/a)-1=0(b/a)2+(b/a)+1/4=5/4(b/a+1/2)2=5/4b/a+1/2=±√5/2b/a=-1/2+√5/2 b/a=-1/2-√5/2 ∵a、b都是非负实数∴b/a也是非负实数∴b/a=-1/2+√5/2
