Question

Find the points of intersection of the graphs involving the following pair of functions.

Answer 1

Answer:

The point of intersection is $( \frac{-1\pm\sqrt{5}}{2}, 0)$

Step-by-step explanation:

f(x) = 2x^2 + 3x - 3 and g(x) = - x^2

By equating them

2x^2 + 3x - 3 = -x^2

3x^2 + 3 x - 3 =  0

x^2 + x - 1 = 0

$x^2 +x - 1 = 0 \\\\x = \frac{-1\pm\sqrt{5}}{2}$