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

What is the Geocentric theory in your own words?
the length of a rectangle is 3 feet less than twice the width of the rectangle. if the perimeter of the rectangle is 324 feet, find the width and the length?
How did the alliances that formed in Europe after world war 2 form an "iron curtain" as described by Winston Churchill in a 1946 speech?
What is 38/50 as a decimal... and what is 28/50 as a decimal? PLEASE HELP ME !!!! i hate struggling with homework!
sophia has 3 pink tulips and 3 white tulips. what fraction of sophias tulips are pink
Use the order of operations and the digits 2,4,6 and 8 to create an expression with a value of 2
List the perfect squares between 100 and 500 that are even numbers.
What is 60 divided by 100 and why? ( I got 0.6 but I'm not sure ) plz hurry
next term in sequence 61, 122, 244, 488
What is the meaning of Pangaea