charlenethm charlenethm
  • 02-07-2021
  • Mathematics
contestada

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

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

Respuesta :

Numenius
Numenius Numenius
  • 07-07-2021

Answer:

The point of intersection is [tex]( \frac{-1\pm\sqrt{5}}{2}, 0)[/tex]

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

[tex]x^2 +x - 1 = 0 \\\\x = \frac{-1\pm\sqrt{5}}{2}[/tex]

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