Question

Find the points of Intersection of these graphs

y = x^2 and y = x +6
I need the explanation and how the formula is thanks Ill give 35 points

Answer 1

the line crosses the parabola at (-2,4) and (3,9)

Explanation:

y=x^2

y=x+6

set them equal to each other

x^2=x+6, now set it equal to zero

x^2-x-6=0, now find the root

(x+2)(x-3)=0, the x=-2, and x=3; now substitute into any of the equation to find the points where graphs intercept

at x= -2, y=(-2)^2=4, so one point is (-2,4)

at x=3, y=(3)^2=9, so other point is (3,9)

the line crosses the parabola at (-2,4) and (3,9)