In which quadrant(s) do the graphs of $y = x^2$ and $y = 3x +10$ intersect?
Set the equations equal
x^2 = 3x + 10 rearrange as
x^2 -3x - 10 = 0 factor
(x - 5) ( x + 2) = 0
x - 5 = 0 x + 2 = 0
x =5 y = 25 x = -2 y = 4
Points of intersection ( 5, 25) and ( -2, 4)
