How to Solve a Quadratic Equation
von Kelsey O'Donnell
1. Algebraically
1.1. Factoring
1.1.1. Factor out a GCF
1.1.2. Factor Completely
1.1.3. Factoring Trinomials When a=1
1.1.4. Factoring Trinomials When "a" is not 1 (Test & Try Method)
1.1.5. Factoring the Difference of 2 Perfect Squares
1.2. Completing the Square
1.2.1. Isolate your x terms by moving the constant "c" term to the right side of the equation,
1.2.1.1. Add the (b/2)^2 term to both sides of equation
1.2.1.1.1. Factor the perfect square trinomial
1.3. Quadratic Formula
2. Graphically
2.1. Using a Graphing Calculator
2.1.1. Use the Table
2.1.1.1. Find the roots by locating the x-value(s) when y=0
2.1.2. Use the graph to find the zeros
2.1.2.1. Steps on Calculator:
2.1.2.2. Type Equation Into Y=
2.1.2.2.1. Graph Equation, press 2nd, TRACE