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[DOC File]Solving Quadratic Equations
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The main focus of this lesson is the introduction of imaginary and complex numbers and operations on those numbers. This lesson should be motivated by the need to find solutions to quadratic equations with complex solutions. It is suggested that you begin and end the lesson with a need to provide an answer to a problem such as “Solve
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[DOC File]Module 1: Solving Quadratic Equations
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Equations such as x2 = 64, x2 -5x = 0, and x2 + 4x = 5 are called quadratic equations. This is because in each of these equations the greatest exponent of any variable is 2. Standard Form of Quadratic Equations: ax2 + bx + c = 0.
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[DOC File]Module 2: The Quadratic Formula
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Complex solutions occur in conjugate pairs. Quadratic equations with exactly one real root can be referred to as having one distinct root with a multiplicity of two. For instance, the quadratic equation, x 2 -4x+4 , has two identical factors, giving one real root with a multiplicity of two.
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[DOC File]Quadratics
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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.
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[DOCX File]DRAFT/Algebra II Unit 1/MSDE Lesson Plan/Performing ...
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2. Solving quadratic equations by factoring; include one example. 3. Using the discriminant to determine how many solutions there are and of what type. 4. Solving quadratic equations using the quadratic formula; include two examples: one whose roots are real and irrational, and one whose roots are imaginary/complex. 5.
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Quadratic Equations Project
Since the radicand is negative in the example above, the solutions to the quadratic equation are complex numbers. The radicand in the quadratic formula is called the discriminant. DEFINITION: The . discriminant. of the quadratic equation is . example: The discriminant of the quadratic equation is . The discriminant tells us the nature of the ...
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[DOC File]Algebra II – Unit 1 – ELL Scaffold
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Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients] N-CN 7. Solve quadratic equations with real coefficients that have complex solutions. N-CN 8. (+) Extend polynomial identities to the complex numbers. For example, rewrite x2 + 4 as (x + 2i)(x – 2i). N-CN 9.
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Solution of Quadratic Equations in Complex Number System
Module 1: Solving Quadratic Equations Using Factoring, Square Roots, Graphs, and Completing-the-Square. DEFINITION: A quadratic equation is an equation of the form where a, b, and c …
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[DOC File]Algebra - Oregon
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Writing Solve quadratic equations with real coefficients that have complex solutions. Describe and explain how to solve quadratic equations with real coefficients that have complex solutions using Manipulatives, word wall, Charts/Posters and Math Journal. VU: Function, equation, quadratic, real coefficients, solution LFC:
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[DOCX File]STANDARD
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E.1.a: Solve quadratic equations and inequalities using various techniques, including completing the square and using the quadratic formula. E.1.b: Use the discriminant to determine the number and type of roots for a given quadratic equation. E.1.c: Solve quadratic equations with complex number solutions.
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Complex solutions of quadratic equations