The equation of curve y=x^2-6x+8 and the line y=x-2 P.s.: I mean Intersection....

Question

The equation of curve y=x^2-6x+8 and the line y=x-2
P.s.: I mean Intersection. Пересечение

Answer 1

y=x^2-6x+8
y=x-2 

x^2-6x+8 = x-2
x^2-7x+10=0
D = (-7)^2 - 4*1*10 = 49-40 = 9
x1 = (7 + 9^(1/2))/2 = (7+  3)/2 = 5
x2 = (7 -  9^(1/2))/2 = (7 -  3)/2 = 2

y1 = 5 - 2 = 3
y2 = 2 - 2 = 0

intersect
(5;3) (2;0)