How to Solve a System of Equations with a Parabola and Ellipse?

[duki]

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

 

[turdferguson]

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

 

[duki]

Not sure what you mean... =/

 

[cristo]

Rearrange your second equation to give $x^2=21-6y^2$, then substitute this into the first equation $y=5x^2+1$. You will obtain a quadratic equation in y which you should be able to solve.