 5-Minute Check A. B. C. D. A. B. C. D.. Content Standards A.REI.4 Solve quadratic equations in one variable. a. Use the method of completing the square.

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Presentation transcript:

 5-Minute Check A. B. C. D. A. B. C. 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 x 2 = 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 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 x 2 – 2x – 35 = 0 by using the Quadratic Formula.

You Try – Group Work A.{6, –5} B.{–6, 5} C.{6, 5} D.Ø Solve x 2 + x – 30 = 0.

Solve 5x 2 – 8x = 4 by using the Quadratic Formula. Simplify using RADICAL FORM. Cornell Notes 2: Use the Quadratic Formula

Solve 5x 2 + 3x – 8 = 0 by using the Quadratic Formula. Simplify using RADICAL FORM. Cornell Notes 3: Use the Quadratic Formula

Solve 3x 2 – 2x + 2 = 0 by using the Quadratic Formula. Simplify using RADICAL FORM. You Try – Group Work

  More practice with Quadratic Formula  How to find the Discriminant Day 2 – Quadratic Formula

Key Concept

State the value of the discriminant for 3x x = 12. Then determine the number of real solutions of the equation. Step 1Rewrite the equation in standard form. Step 2Find the discriminant. Cornell Notes 4: The Discriminant

A.–4; no real solutions B.4; 2 real solutions C.0; 1 real solutions D.cannot be determined State the value of the discriminant for the equation x 2 + 2x + 2 = 0. Then determine the number of real solutions of the equation. You Try – Group Work