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 belief in rebirth to a higher or lower position in society based upon the actions one takes during their life is know A Karma B reincarnation C Dharma D mo
How does government contribute to nutrition in south africa? ​
Which of the following numbers is a power of 10? 1,010 500 1,000 20
When a piece of iron of mass is 78 gram is put in a graduated cylinder containing 100cm³ of water, the reading of the cylinder become 110³ cm calcute the denist
the quotient of a number and four?​
Tell me something about physical health ?
-1 1/3 - 1/6= (in fraction form)
Identify each image. Follow the model.QuestionsModèlelaptop with blue screenC'est un ordinateur.Question 1 with 1 blankdesks with chairs1 of 1Question 2 with 1
Jordan wants to prove △PQR≅△STU using a sequence of rigid motions. This is Jordan's proof. Translate △PQR to get △P'Q'R' with R'=U. Then rotate △P'Q'R' about po
Density Calculations: Calculate the density of an object with a mass of 25.0 g and a volume of 4.55 cm3?