SOLUTION: {4x^2-y^2=-5 {8x^2+y^2=17

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Question 1187572: {4x^2-y^2=-5
{8x^2+y^2=17

Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
We appreciate the info.

Answer by ikleyn(52781) (Show Source):
You can put this solution on YOUR website!
.

Add the equations.

As soon as you add them, the terms {-y^2} and {y^2} will cancel each other.

You will get simple quadratic equation for x.

Solve it and get two answers/values for x.

Then substitute these values to any of the original equations.

You will get a simple quadratic equation for y: it will give you two solutions for y.

Combine these solutions in pairs; be accurate with the signs of the values in pairs.

You should have 4 pairs (if there is no degeneracy).

They determine 4 solutions/answers.

This 4 solutions represent the intersection points of two curves, determined by the equations.

You may report me about your progress . . .