Answer:
Step-by-step explanation:
7x-x^2>8
or x²-7x<-8
adding both sides (-7/2)² or 35/4
for x²-7x+35/4<-8+35/4
(x-7/2)²<(-32+35)/4
or (x-7/2)²<3/4
|x-7/2|<(√3)/2
-(√3)/2<x-7/2<(√3)/2
7/2-(√3)/2<x<7/2+(√3)/2
(7-√3)/2<x<(7+√3)/2
(7-1.732)/2<x<(7+1.732)/2
2.634<x<4.37
so x=2 is a solution.
