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5-Minute Check
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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
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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