We're going to learn the steps to solving a quadratic equation by factoring, completing the square, and using the quadratic formula. You will be able to solve problems using all three of these methods.
TEKS Standards and Student Expectations
A(8) Quadratic functions and equations. The student applies the mathematical process standards to solve, with and without technology, quadratic equations and evaluate the reasonableness of their solutions. The student formulates statistical relationships and evaluates their reasonableness based on real-world data. The student is expected to:
A(8)(A) solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula
Given a quadratic equation, the student will solve the equation by factoring, completing the square, or by using the quadratic formula.
Why does factoring help us solve a quadratic equation?
When do we use completing the square to solve an equation?
What is the quadratic function? And how do you know the values of a, b, and c?