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

The progression from the producer to the consumers is called the ______. a. .potential energy. b. .tertiary consumer. c. .food chain. d. .roller coaster experim
what date on the cosmic calendar was our sun born?
Laura's imagination is amazingly a. vital. b. convivial. c. vivacious. d. vivid.
why might a lake have a smaller surface area but a larger volume?
The defining characteristic of deserts is _______. a. low rainfall b. high temperatures c. lizards d. cacti
what was daily life like for a slave in the colonies
A scientist has discovered the means to block the chemical that directly provides cells with energy for cellular processes. Which cell substance is most likely
where does the carbon from that is used in photosynthesis
What is social support?
To calculate the heat needed to boil a pot of water at 100C, what do you need to know? A. the mass and latent heat of fusion B. the mass and amount of work do