malory12
malory12 malory12
  • 18-04-2017
  • Mathematics
contestada

What are the solutions to the system of equations?
x^2+y^2=5
y=2x

Respuesta :

irspow
irspow irspow
  • 18-04-2017
we can substitute y=2x in the quadratic equation to get:

x^2+(2x)^2=5

x^2+4x^2=5

5x^2=5

x^2=1

x=±1  so there are two solutions when x=-1 and 1, using y=2x we get the corresponding y values...

y(-1)=-2 and y(1)=2 so the two solutions are the two points:

(-1,-2) and (1,2)
Answer Link

Otras preguntas

What does the line "I laugh with my legs" mean in "I Have Ten Legs"? a. The speaker's legs are not a part of her body. b. The speaker does not know how to lau
Which famous African American was arrested after refusing to give up a bus seat for a white man? A. Sammy Davis, Jr. B. Nina Simone C. Rosa Parks D. Martin Lut
Can you think of any messages to do with the incarnation of Jesus
Peggy is putting flowers in vases. she puts either 2 or 3 flowers in each vase. if Peggy has a total of 12 flowers, how many different ways can she place them a
Which statement about the relationship between East, West, and South Africa with Europe is correct?
before starch can enter a cell it must be?
A person who has a physical or strong emotional need to use alcohol is showing signs of... A: Reverse Tolerance B: Tolerance C: Rehabilitation D: Addiction
How do you simplify 12 square root 1764
How do you figure out the quotient of (16x³+24x²)÷2x
Which of the following is a major contribution of ancient Athens of western civilization? a. Monarchy b. Monotheism c. Writing D Democracy