SOLUTION: find all solutions of the system of equations. {x + sqrt (y) = 0 {y^2 - 2x^2 = 3

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Question 473872: find all solutions of the system of equations.
{x + sqrt (y) = 0
{y^2 - 2x^2 = 3

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!

Substitute into the bottom equation:
, or
<==> (y - 3)(y + 1) = 0 ==> y = 3, -1
eliminate y = -1 (Why?)
==>
The solution point is thus (, 3)

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