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]

Answer Link

Otras preguntas

Imagine that you are creating a blog to argue in favor of the benefits of recycling. Which three statements use an appropriate tone to support your viewpoint? R
Can someone help me and explain plz?
The area of a rectangle is 215.2 m2. If the length is 16 m, what is the perimeter of the rectangle
Hey guys, I have a question I would like to ask you guys. In your opinion, do you think we should have homework in university/ college? Thank you.
12 POINTS PLZ help How does radiation differ from conduction? A. Radiation can move through empty space to transfer heat; conduction cannot.  B. Radiation needs
Can someone please help me on this math problem, I’ve been stuck for a while now.
what was one of the major reasons for the king wanting to create the colony of georgia? A) to help pay royal B) to civilize the native indians C) to release deb
Hey guys, I have a question I would like to ask you guys. In your opinion, do you think we should have homework in university/ college? Thank you.
Please help I am really stuck! I need it in y=mx + b form! Please show work!
Someone help plzzz I need help with questions 1-4