Question

Need answer NOW!!!! What are the solutions to the system of equations?

x^2+y^2=5

y=2x

( a0, 2)and ( a1, a2)

Answer 1

The solution of the system of equations are the points (1,2) and (-1,-2)

a0=1, a1=-1,a2=-2

Explanation:

we have

`x^(2) +y^(2)=5` ----> equation A

This is the equation of a circle centered at the origin

`y=2x` ----> equation B

This is the equation of a line, that passes through the origin (a direct variation)

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection points both graphs

using a graphing tool

The intersection points are (1,2) and (-1,-2)

see the attached figure

therefore

The solution of the system of equations are the points (1,2) and (-1,-2)

a0=1, a1=-1,a2=-2