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[DOC File]Module 1: Solving Quadratic Equations
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In this lesson, you will learn about solving quadratic equations by using a formula that is derived by completing the square for the general equation a x 2 +bx+c=0 . The formula is called the Quadratic …
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[DOC File]Our next task is solving a quadratic equation
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3. When b = 0, the equation is called pure quadratic equation. E.g. x2 + 6 = 0. 4. When b 0, the equation is called an effective quadratic equation. E.g. x2 – 5x + 6 =0. Solution of a Quadratic Equation. Solution of quadratic equation ax2 + b x + c = 0 where a, b, & c are real numbers a 0 & x is a variable is given as. x = x = OR x =
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Quadratic Equation: Formula, Solutions and Examples
A quadratic equation is an equation of the form where a, b, and c are real numbers and . ... so we can conclude that the equation does not have any real solutions. (Note that we can use the quadratic formula or completing-the-square to find the complex numbers that solve the equation.) d.
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[DOCX File]www.nccscougar.org
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The value(s) of x which makes the quadratic equation zero are known as the roots of the equation. 2. Solve by graphing a related function. (Sketch the graph and label the solutions.) a) b) 3. Sketch the following related functions and find the zeros of the functions. a) State the roots of the equation. How many roots are there to the equation?
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[DOC File]Unit Plan for Chapter 9: Quadratic Equations and Functions
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(1) What is a quadratic equation? An equation that has two terms. An equation that has four terms. An equation that has degree 4. An equation that has degree 2 (2) Use the discriminant to determine how many real solutions exist for the quadratic equation 3x2 + 4x + 2 = 0. 0 solutions. 1 solution. 2 solutions. 3 solutions (3) Solve x2 + 4x ...
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Solving Quadratic Equations by Graphing
Find the value of the discriminant and describe the nature of the roots. Example 6 Example 7 . Pg 357, 8-36 even. Sum and Product of Roots §6.5. x = 4 x = -7. Writing Equations (Quadratic) 1. 2. Write a quadratic equation that has the following roots. Example 1 Example 2 . and 5 and . Example 3 Example 4. 7 – 2i and 7 + 2i and
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[DOC File]QUADRATIC AND CUBIC EQUATIONS - Redik
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Students know the quadratic formula and are familiar with its proof by completing the square. 20.0 . Students use the quadratic formula to find the roots of a second-degree polynomial and to solve quadratic equations. 21.0 . Students graph quadratic functions and know that their roots are the x- …
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[DOC File]Topic: Geometric definitions
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7. Complete the square of to find the vertex (2, 5) (2, -5) (-2, 5) (-2, 13) 8. Find the minimum or maximum value of . Minimum value of 6. Minimum value of -41. Maximum value of 6 . Maximum value of -41. 9. Solve by completing the square (or you could always use the quadratic formula) 10. Find the value of C for the following. 49 -49 7 -7
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[DOC File]MILC Quadratics Unit
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Find the solutions to this equation using the Quadratic Formula. EX 4: For each of the following quadratic equations, find the solutions using the Quadratic Formula and express your answers in simplest radical form. EX 5: A projectile is fired vertically from the top of a 60 foot tall building. It’s height in feet above the ground after t ...
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[DOC File]Solving Quadratic Equations by Graphing
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There is a property called the zero factor property that allows us to factor a quadratic set those factors equal to zero and find the solutions to a quadratic equation. This zero factor property is based upon the multiplication property of zero – anything times zero is zero.
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Find solutions for quadratic equation