Nonlinear systems of equations I (5:44)Solve the system of equations by graphing. Check your solution algebraically.
y = x^2 + 6
y = -2x – 2
Solutions: (-2,2) and (4, -10)
Systems of nonlinear equations II (3:33)Find the solution(s) of
y = \frac{1}{2}x
2x^2 – y^2 = 7. Solutions: x = 2 or x = -2 giving points (2,1) and (-2,-1), both of which satisfy both constraint equations.
Systems of nonlinear equations III (4:13)
Find the solution(s) of the system of equations
y = x +1
x^2 + y^2 = 25Solutions: (-4,-3) and (4,3)
There are also more videos under “Quadratics” — see Systems of Quadratic Equations