Solving Quadratic Equations
Learning Objective
I can solve quadratic equations using factoring, completing the square, and the quadratic formula.
Key Concepts
The quadratic formula is useful because you can plug in the coefficients of the expression and get the solution.
The quadratic formula is: x = (-b ± √(b² - 4ac)) / 2a].
If the discriminant (b² - 4ac) is a negative number, there are no real solutions to the quadratic.
Practice Questions
This lesson includes 12 practice questions to reinforce learning.
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1. What is the quadratic formula used for?
2. In the quadratic formula, x = (-B ± √(B² - 4AC)) / 2A, what is the discriminant and what does it indicate about the solutions of the quadratic equation?
3. What is the first step in deriving the quadratic formula from the general quadratic equation Ax² + Bx + C = 0?
...and 9 more questions
Educational Video
Solving Quadratics by Using the Quadratic Formula
Professor Dave Explains