SOLVE THE NONLINEAR SYSTEM OF EQUATIONS FOR REAL SOLUTIONS

3x

^{2 }+ 4y^{2 = 9}3x

^{2}- 4y^{2 =}9SOLVE THE NONLINEAR SYSTEM OF EQUATIONS FOR REAL SOLUTIONS

3x^{2 }+ 4y^{2 = 9}

3x^{2} - 4y^{2 =} 9

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Ansonia, CT

Stack the two equations and add:

3x^{2} + 4y^{2} = 9

3x^{2} - 4y^{2} = 9

6x^{2} = 18, so x^{2} = 3 and x = ±√3

plugging this x value into either of the other equations yields y = 0, so there are two solutions,

(-√3, 0) and (+√3, 0)

Hope this helps!

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