What are the intersection points of the parabola given by the equation y equals x squared minus nine and the line given by the equation y equals x minus three?
+129840 What are the intersection points of the parabola given by the equation y equals x squared minus nine and the line given by the equation y equals x minus three?
Set the equations equal
x^2 − 9 = x − 3 rearrange as
x^2 − 9 − x + 3 = 0
x^2 − x − 6 = 0 factor
(x −3) ( x + 2) = 0 set each factor to 0 and we have have x = 3 and x = −2
And using x − 3, when x = 3, y = 0
And when x = −2, y = −5
So the solutions are (3, 0) and (−2, −5)
