解方程:(x-4)[50-10x+50]=50

问题描述:

解方程:(x-4)[50-10x+50]=50

5,9

(x-4)[10-x]=5
10x-x^2-40+4x=5
14x-x^2-40=5
x^2-14x+45=0
(x-5)(x-9)=0
x=5或x=9

(x-4)[50-10x+50]=50
(x-4)[100-10x]=50
(x-4)[10-x]=5
10x-x^2-40+4x=5
14x-x^2-40=5
x^2-14x+45=0
(x-5)(x-9)=0
x=5或x=9

两边除以-10
(x-4)(x-10)=-5
x²-14x+40=-5
x²-14x+45=0
(x-5)(x-9)=0
x=5,x=9