How Do You Solve A System Of Quadratic Equations?
In algebra, you learn how to solve systems of linear equations, such as the pair 4x+y=14 and 5x-3y=9. Using the techniques of elimination and substitution, you can also solve systems of more complex math equations, such as quadratic equations (2nd degree polynomials). For example, in the system y=x²+5x-7 and y=2x²-2x+3, you can use elimination and substitution to see what value(s) of x and y, if any, will make both equalities true. First, understand what it means to solve a system of quadratics, from a geometric standpoint. Solving a system of two linear equations represents finding the intersection point of two lines. Solving a system of two quadratic equations represents finding the intersection point(s) of two parabolas. Two parabolas can intersect in either zero, one, or two points. Now, write the two equations, one on top of the other, and then subtract the bottom equation from the top equation. It will not matter in which order you write them. For example, if our two quadratics a
