解一道方程4+X=X*X

问题描述:

解一道方程4+X=X*X

4+X=X^2
x^2-x-4=0
x^2-x+1/4-1/4-4=0
(x-1/2)^2-17/4=0
(x-1/2-√17/2)(x-1/2+√17/2)=0
x=1/2+√17/2或x=1/2-√17/2

x²-x-4=0
(x-1/2)²=4+1/4
(x-1/2)²=17/4
x-1/2=±根号17/2
x=(1±根号17)/2