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[DOC File]Worksheet 38 (7
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7.2 Quadratic Equations. Summary 1: A . quadratic equation. is a second-degree equation in one variable that contains a variable with an exponent of two. For quadratic equations of the form . x2 = a, where x is a variable and a is any real number, the following square root property holds true: For any real number a, x2 = a if and only if.
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[DOC File]Module 1: Solving Quadratic Equations
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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 are real numbers and .
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[DOCX File]WEEKS (WHEN WILL YOU TEACH THE CONTENT
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Compare and contrast the properties of numbers and number systems, including the rational and real numbers, and understand complex numbers as solutions to quadratic equations that do not have real solutions; Use number-theory arguments to justify relationships involving whole numbers. Algebra:
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[DOC File]Solving Quadratic Equations - St. Francis Preparatory School
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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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[DOCX File]Quadratic equation with complex coefficients
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2MEX-N2 Quadratic equations with complex coefficients. Quadratic equations. Quadratic equations with complex coefficients. i x 2 - i =0 . ... x=-4i . or x=3i [all solutions must be presented as a complex number in the form a+bi ] x 2 - 4 1 + i x + 10 i = 0 . x = - b ± b 2 -4 ac 2 a .
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Quadratic Equations Project - OnCourse Systems
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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[DOC File]Algebra II Standards Map - Instructional Materials (CA ...
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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 …
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[DOCX File]Educational Testing Service
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Solve quadratic equations with real coefficients that have complex solutions. Algebra I / The quadratic formula. Algebra 2 / Quadratic equations with complex solutions. Extend polynomial identities to the complex numbers (e.g., Author: Windows SOE Manager Created Date: 10/29/2019 19:14:00
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[DOCX File]Math 2 Unit 2c Quadratic Functions Working with Equations
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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
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[DOC File]Module 2: The Quadratic Formula
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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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Quadratic equations with complex solutions