SOLUTION: Construct a system of nonlinear equations to describe the given behavior, then solve for the requested solutions. Two positive numbers add up to 820. One number is twice the sq

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Construct a system of nonlinear equations to describe the given behavior, then solve for the requested solutions. Two positive numbers add up to 820. One number is twice the sq      Log On


   

Question 1129187: Construct a system of nonlinear equations to describe the given behavior, then solve for the requested solutions.
Two positive numbers add up to 820. One number is twice the square of the other number. What are the numbers?
Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
system%28x%2By=820%2Cy=2x%5E2%29 Substituting 2x^2 for y in the first equation gives 2x^2+x=820.
2x%5E2%2Bx-820=0
%282x%2B41%29%28x-20%29=0
system%28x=-41%2F2%2Cx=20%29 (x,y)=(-20.5,840.5),(20,800).