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Pre calculus Problem of the Day Homework: p. 93 55-79 eoo, 91-113 odds Factor the following:
Solving Quadratic Equations
Let’s solve another way.
Completing the square for 1)Subtract c. 2)Divide by a. 3)Add to both sides of the equation. 4)Factor. 5)Take the square root of both sides. 6)Solve for x.
Solve by completing the square. This is called the Quadratic Formula. Any quadratic equation can be solved using this formula.
Solve using the quadratic formula.
Opposite of b, Opposite of b Plus or minus square root, Plus or minus square root b squared minus 4ac, b squared minus 4ac Over 2a, Over 2a
Completing the Square and the Quadratic Formula
The Quadratic Formula for solving equations in the form
solution If a quadratic equation is in the form ax 2 + c = 0, no bx term, then it is easier to solve the equation by finding the square roots. Solve.
Quadratic Equations Sum and Product of the Roots.
EXAMPLE 1 Solve quadratic equations Solve the equation. a. 2x 2 = 8 SOLUTION a. 2x 2 = 8 Write original equation. x 2 = 4 Divide each side by 2. x = ±
Square Roots Objective I can simplify radicals I can use the square root property to solve equations.
Day 5 Simplify each expression: Solving Quadratic Equations I can solve quadratic equations by graphing. I can solve quadratic equations by using.
Many quadratic equations can not be solved by factoring. Other techniques are required to solve them. 7.1 – Completing the Square x 2 = 20 5x =
7.1 – Completing the Square
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Solving Quadratic Equations by Completing the Square
Algebra 2 Honors Quadratic Functions.
Solving Quadratic Equations by Completing the Square.
2.13 Use Square Roots to Solve Quadratics Example 1 Solve quadratic equations Solution Write original equation. 5 Solve the equation. Add __ to each side.
Using square roots to solve quadratic equations. 2x² = 8 22 x² = 4 The opposite of squaring a number is taking its square root √ 4= ± 2.
Solving Quadratics. Methods for Solving Quadratics Graphing Factoring Square Root Method Completing the Square Quadratic Formula.
Algebra II Honors POD Homework: p odds, odds (you must use completing the square), and 77, 83 Find all real solutions for the following:
Quadratic Equations Solve by Completing the Square.
Solving Quadratic Equations – Part 1 Methods for solving quadratic equations : 1. Taking the square root of both sides ( simple equations ) 2. Factoring.
2.6 Solving Quadratic Equations with Complex Roots 11/9/2012.
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