Question

How many points of intersection are on the graph of the following system?

lbrace y = x2 + 3x − 7
y − x = 9


The linear-quadratic system has
(select)
points of intersection.

Answer 1

2 points of interception of (3.12 , 12./12) and (-5.12 , 3.87)

Explanation:

y − x = 9

y = x + 9

x+9 = x²+3x-7

x²+2x-16=0

x = (-2±√2²-4(1)(-16)) / 2 = (-2 ± √68) / 2 = -1 ± √17

x = 3.12 or x = -5.12

y = 12.12 or y = -3.87