A.6: Solving Equations by: Factoring, Square Root Method and Completing the Square (CTS)! Are you Ready for More?!

Slides:



Advertisements
Similar presentations
10-7 The Quadratic Formula
Advertisements

2.4 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
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.
Solving Quadratic Equations Algebraically Lesson 2.2.
Quadratic Equations Sum and Product of the Roots.
Solve by taking roots. Warm up. Homework Review Skills Check.
The Quadratic Formula..
Solving Quadratic Equations by Completing the Square
Module :MA0001NP Foundation Mathematics Lecture Week 9.
Pre calculus Problem of the Day Homework: p eoo, odds Factor the following:
The Quadratic Formula. What does the Quadratic Formula Do ? The Quadratic formula allows you to find the roots of a quadratic equation (if they exist)
Quadratics Solving equations Using “Completing the Square”
A.6: Solving Equations by: Factoring, Square Root Method and Completing the Square (CTS)! Are you Ready for More?!
 Quadratic Equations Solve by Completing the Square.
Pre-Calculus Section 1.5 Equations Objectives: To solve quadratics by factoring, completing the square, and using the quadratic formula. To use the discriminant.
Section 4.7 – The Quadratic Formula Students will be able to: To solve equations using the Quadratic Formula To determine the number of solutions by using.
Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 1 Chapter 9 Quadratic Equations and Functions.
The Quadratic Formula Students will be able to solve quadratic equations by using the quadratic formula.
WHAT IS A “SOLUTION”? Sect P.5 solving Equations.
9.5 - The Quadratic Formula
Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.
Completing the Square SPI Solve quadratic equations and systems, and determine roots of a higher order polynomial.
Ch 10: Polynomials G) Completing the Square Objective: To solve quadratic equations by completing the square.
Solve by taking roots. Warm up. Homework Review Completing the Square.
Aim: How do we solve quadratic equation with complex roots? Do Now: 1. Solve for x: 2. Solve for x: 3. Solve for x: HW: p.219 # 6,8,10,12,14 p.241 # 6,14,25.
PreCalculus Section 1.6 Solve quadratic equations by: a. Factoring b. Completing the square c. Quadratic formula d. Programmed calculator Any equation.
1.4: Solving Equations Day 4…Please teach us more!
Ch 10: Polynomials G) Completing the Square Objective: To solve quadratic equations by completing the square.
The Quadratic Formula The Quadratic Formula can be used to solve any quadratic equation that is in the form ax2 ax2 + bx bx + c = 0 I’ll have to write.
Lesson 6.5: The Quadratic Formula and the Discriminant, pg. 313 Goals: To solve quadratic equations by using the Quadratic Formula. To use the discriminant.
1.2 Quadratic Equations. Quadratic Equation A quadratic equation is an equation equivalent to one of the form ax² + bx + c = 0 where a, b, and c are real.
Solve Quadratic Functions by Completing the Square
SOLVING QUADRATIC EQUATIONS BY COMPLETING THE SQUARE
PreCalculus Section 1. 6 Solve quadratic equations by: a. Factoring b
Warm up Solve by taking roots..
The Quadratic Formula..
Intro: We already know the standard form of a quadratic equation is:
1.5 Square Root and Completing the Square
The Square Root Principle & Completing the Square
The Quadratic Formula..
Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
Write each expression as a trinomial.
Quadratic Formula Solving for X Solving for quadratic equations.
Solving Quadratic Equations by the Complete the Square Method
Warm-Up.
Solving Quadratic Equations by the Quadratic Formula
Find the x coordinate using -b/2a, then find the y coordinate.
Section 11.2 The Quadratic Formula.
1.6 - Square Root and Completing the Square
The Quadratic Formula.
13.3 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
2.4 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
5.4 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
Review: Simplify.
9.2 Solving Quadratic Equations using square roots
13.3 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
Completing the Square Algebra Review.
Homework Check.
4.5: Completing the square
5.4 Completing the Square.
Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
The Quadratic Formula..
Solving Quadratic Equations by Finding Square Roots
Objective - To transform formulas.
The Quadratic Formula..
quadratic formula. If ax2 + bx + c = 0 then
Ch 10: Polynomials G) Completing the Square
Homework Check.
Presentation transcript:

A.6: Solving Equations by: Factoring, Square Root Method and Completing the Square (CTS)! Are you Ready for More?!

A.6: Solving Equations by: Factoring, Square Root Method and CTS! The students (YOU!), will be able to: Solve Equations in One Variable Solve Eqns Using the Square Root Method Solve Eqns by Completing the Square (CTS) Obtain the Quadratic Formula

A.6: Solving Equations by: Factoring, Square Root Method and CTS! You are going to LOVE this! Who doesn’t like some good ‘ole review problems? Ex1Solve the following eqns by FACTORING: a)3x 2 + 5x – 2 = 0b) x 3 + x 2 – 20x = 0 b)x 3 = x 2 d) x 3 - 2x 2 – 4x + 8 = 0

A.6: Solving Equations by: Factoring, Square Root Method and CTS! Ex2Solve the following eqns by the SQUARE ROOT METHOD: a)x 2 – 5 = 0b)(x + 2) 2 = 1

A.6: Solving Equations by: Factoring, Square Root Method and CTS! Remember Completing the Square? If you start with x 2 + mx, what do you add to both sides? What, then, is your end result? Do you remember how much fun this is?!

A.6: Solving Equations by: Factoring, Square Root Method and CTS! Ex3Solve by Completing The Square: a)x 2 – 6x = 16 b)x 2 + 3x = 0 c)2x 2 + 8x = 10

A.6: Solving Equations by: Factoring, Square Root Method and CTS! The Quadratic Formula: Consider the equation ax 2 + bx + c = 0, If b 2 – 4ac < 0, then ____________________________________________ _______________________ If b 2 – 4ac 0, then ____________________________________________ ______________________ x = __________________________

A.6: Solving Equations by: Factoring, Square Root Method and CTS! Ex4Solve by applying the Quadratic Formula: a) 3x = -6xb) -2x 2 + 7x = -9 HMWK #2

A.6: Solving Equations by: Factoring, Square Root Method and CTS! Did we hit the TARGET?: Solve Equations in One Variable Solve Eqns Using the Square Root Method Solve Eqns by Completing the Square (CTS) Obtain the Quadratic Formula