Quadratic Equations
Quadratic Equations A quadratic equation in x is an equation that can be written in the general form ax2 + bx + c = 0 Where a, b, and c are real numbers We can solve by several methods : • By Factoring and setting each factor equal to 0 • Extracting Square Roots • Completing the Square • Using the Quadratic Formula • Using Your Calculator Wisely |
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Quadratic Equations - Factoring Factor ax2 + bx + c = (Ax+B)(Cx+D) = 0 • Set each factor = 0. (Ax+B) = 0, (Cx+D) = 0 • Solve for x Examples: To be worked in class |
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Quadratic Equations – Extracting
Square Roots • If you can manipulate the equation so that:
then, |
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Quadratic Equations – Completing the
Square Given : ![]()
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Quadratic Equations – The Quadratic
Formula Given :
Examples: To be worked in class |
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Quadratic Equations – Types of
Solutions
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Quadratic Equations – Solving By
Graphing A function must be entered into ![]() Press the ![]()
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235 ft | A Wrench Is Dropped From 235 ft up
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Number of Lawyers L = .008t2 + 19.59t + 552.8, t = 3 is 1983, L is in thousands, What year does L =1000? (That is 1 million Lawyers?) |
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