Systems of linear and quadratic equations
A Linear Equation is an equation for a line . A Quadratic Equation is the equation of a parabola and has at least one variable squared (such as x 2 ) And together they form a System of a Linear and Quadratic Equation A System of those two equations can be solved (find where they intersect), either: Graphically (by plotting them both on the Function Grapher and zooming in) or using Algebra How to Solve using Algebra Make both equations into "y =" format Set them equal to each other Simplify into "= 0" format (like a standard Quadratic Equation) Solve the Quadratic Equation! Use the linear equation to calculate matching "y" values, so we get (x,y) points as answers An example will help: Example: Solve these two equations: y = x 2 - 5x + 7 y = 2x + 1 Make both equations into "y=" format: They are both in "y=" format, so go straight to next step Set them equal to each other x 2 -
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