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

A jet travels 540 miles for 2 hours. At this rate, how far could the jet fly in 14 hours?
HSDKFSDKFJSDK HELP PLS AND TY <3
PLEASE HELP!! Thanks:)
1/3 of an obtuse angle is a(n): A. right angle B. obtuse angle c. reflex angle D. acute angle
Perform the operation. (4x^2+9x-7)-(7x^2+5x-1 PLEASEE DO STEP BY STEP
in greek mythology, who flew too close to the sun?
What effect does the Rules Committee have on a bill?
people whose ancestry includes both indigenous and spanish heritage are
The cost in dollars to produce x cups of lemonade is represented by the function C(x)=10+0.20x. The revenue in dollars earned by selling x cups of lemonade is r
The Night Before the Invasion by Rachel Howard