Solving system of equations

  • Thread starter duki
  • Start date
  • #1
264
0

Homework Statement



y = 5x^2 + 1
x^2 + 6y2 = 21


Homework Equations



quadratic formula

The Attempt at a Solution



I am not quite sure how to solve algebraically...
My parabola is this
x|y
0 1
1 6

ellipse
x|y
0 | 1.87
4.5 | 0

How can I manipulate the formula to solve the points which the ellipse crosses the parabola
 

Answers and Replies

  • #2
312
0
Try solvng for x^2 and plugging that into one equation. Then plug in each y solution to get 2 corresponding x solutions. At the end, check to make sure all your answers work in the original equations
 
  • #3
264
0
Not sure what you mean... =/
 
  • #4
cristo
Staff Emeritus
Science Advisor
8,107
73
Rearrange your second equation to give [itex]x^2=21-6y^2[/itex], then substitute this into the first equation [itex]y=5x^2+1[/itex]. You will obtain a quadratic equation in y which you should be able to solve.
 

Related Threads on Solving system of equations

  • Last Post
Replies
7
Views
3K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
3
Views
4K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
7
Views
690
  • Last Post
Replies
22
Views
2K
Replies
3
Views
1K
Replies
2
Views
3K
Top