Unit 3 Quadratic Equations & Complex Numbers
3.1 Solving Quadratic Equations
Solve Quadratic Equations by:
graphing,
factoring,
& taking square roots.
What are the solution(s) to the following equations?
Solve the equation graphed.
...Now solve by factoring.
Solving Quadratics by Graphing:
Where are the solutions located on a graph?
Only use this method when you are given the graph!
(or if if you can graph it quickly with a graphing calculator)
Solving Quadratics by Factoring:
(using the zero product property)
Rearrange to Standard Form → Factor → Solve
Solve by Factoring: (Weird Cases)
Warm Up: Simplify the
Solving Quadratics by taking the Square Root:
Solving Quadratics by taking the Square Root:
Isolate x2→ Square Root Both Sides
Efficient Easy Method: Only works when bx term is missing
i.e. ax2+c=0
Don’t Forget:
Positive/Negative Answer, Simplify your radicals, & no roots in denominator
Solutions:
Solutions:
You Try: Solve the Quadratic Equation.