How to Solve a Quadratic Equation

1. Graphically

1.1. Using a Graphing Calculator

1.1.1. Use the Table

1.1.1.1. Find the roots by locating the x-value(s) when y=0

1.1.2. Use the graph to find the zeros

1.1.2.1. Steps on Calculator:

1.1.2.2. Type Equation Into Y=

1.1.2.2.1. Graph Equation, press 2nd, TRACE

2. Algebraically

2.1. Factoring

2.1.1. Factor out a GCF

2.1.2. Factor Completely

2.1.3. Factoring Trinomials When a=1

2.1.4. Factoring Trinomials When "a" is not 1 (Test & Try Method)

2.1.5. Factoring the Difference of 2 Perfect Squares

2.2. Completing the Square

2.2.1. Isolate your x terms by moving the constant "c" term to the right side of the equation,

2.2.1.1. Add the (b/2)^2 term to both sides of equation

2.2.1.1.1. Factor the perfect square trinomial

2.3. Quadratic Formula