Intro to the four cases of quadratic-quadratic systems

Intro to the four cases of quadratic-quadratic systems

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Intro to the four cases of quadratic-quadratic systems

2:46

About this lesson

• The solutions to a system of equations are the points of intersection of the graphs.
• For a system consisting of two quadratic equations:
quadratic equation: \(y = a{x^2} + bx + c\)
quadratic equation: \(y = d{x^2} + ex + f\)
There are 4 cases to consider:
case 1: 2 solutions case 2: 1 solution case 3: no solutions case 4: infinite solutions

System of quadratic-quadratic equations with 2 solutions

System of quadratic-quadratic equations with one solution

System of quadratic-quadratic equations with no solution

System of quadratic-quadratic equations with infinite solutions

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Intro to the four cases of quadratic-quadratic systems

3 min

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Solving a quadratic-quadratic system using elimination

9 min

Solving a quadratic-quadratic system using elimination

5 min

Solving a quadratic-quadratic system with no solution

3 min

Identifying infinite solutions in a quadratic-quadratic system

4 min