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

Tutors, please sign in to answer this question.

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!

- Math Help 5462
- Math 9894
- Math Word Problem 4511
- Math Problem 1021
- Math Question 799
- Finite Mathematics 581
- Probability 1442
- Probability & Statistics 737
- Math Equations 957
- Algebra Help 967