Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Abuse of notation wikipedia , lookup
Large numbers wikipedia , lookup
Functional decomposition wikipedia , lookup
Factorization wikipedia , lookup
System of polynomial equations wikipedia , lookup
Numerical continuation wikipedia , lookup
History of algebra wikipedia , lookup
Number theory wikipedia , lookup
Elementary algebra wikipedia , lookup
5-Minute Check A. A. B. B. C. C. D. D. Content Standards A.REI.4 Solve quadratic equations in one variable. a. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)2 = q that has the same solutions. Derive the quadratic formula from this form. b. Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b. Mathematical Practices 6 Attend to precision. Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. You solved quadratic equations by completing the square. • Solve quadratic equations by using the Quadratic Formula. • Use the discriminant to determine the number of solutions of a quadratic equation. • Quadratic Formula • discriminant KEY Concept IMPORTANT: Always use parenthesis when substituting a number in for a variable! (calculator use included) Cornell Notes 1: Use the Quadratic Formula Solve x2 – 2x – 35 = 0 by using the Quadratic Formula. You Try – Group Work Solve x2 + x – 30 = 0. A. {6, –5} B. {–6, 5} C. {6, 5} D. Ø Cornell Notes 2: Use the Quadratic Formula Solve 5x2 – 8x = 4 by using the Quadratic Formula. Simplify using RADICAL FORM. Cornell Notes 3: Use the Quadratic Formula Solve 5x2 + 3x – 8 = 0 by using the Quadratic Formula. Simplify using RADICAL FORM. You Try – Group Work Solve 3x2 – 2x + 2 = 0 by using the Quadratic Formula. Simplify using RADICAL FORM. Day 2 – Quadratic Formula More practice with Quadratic Formula How to find the Discriminant Key Concept Cornell Notes 4: The Discriminant State the value of the discriminant for 3x2 + 10x = 12. Then determine the number of real solutions of the equation. Step 1 Step 2 Rewrite the equation in standard form. Find the discriminant. You Try – Group Work State the value of the discriminant for the equation x2 + 2x + 2 = 0. Then determine the number of real solutions of the equation. A. –4; no real solutions B. 4; 2 real solutions C. 0; 1 real solutions D. cannot be determined