Flashback 9-6-12 1. Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales.

Slides:



Advertisements
Similar presentations
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 =
Advertisements

7.1 – Completing the Square
9.4 – Solving Quadratic Equations By Completing The Square
3.5 Quadratic Equations OBJ:To solve a quadratic equation by factoring.
OBJ: To solve a quadratic equation by factoring
Warmup 9-11 Solve the following equations by factoring. Show work! 1.x x - 80 = 0 2.Solve by using the quadratic formula: 4x 2 - 5x - 2 = 0 3.Solve.
DO NOW: FACTOR EACH EXPRESSION COMPLETELY 1) 1) 2) 3)
Math is about to get imaginary!
Flashback Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales.
Solving Quadratics. Methods for Solving Quadratics Graphing Factoring Square Root Method Completing the Square Quadratic Formula.
MAT 150 – Algebra Class #9 Topics: Solving Quadratics by Factoring Square Root Completing the Square Quadratic Formula Solving quadratics having complex.
Solving Quadratic Equations – Part 1 Methods for solving quadratic equations : 1. Taking the square root of both sides ( simple equations ) 2. Factoring.
Chapter 10.7 Notes: Solve Quadratic Equations by the Quadratic Formula Goal: You will solve quadratic equations by using the Quadratic Formula.
Flashback A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost.
Factor. 1)x² + 8x )y² – 4y – 21. Zero Product Property If two numbers multiply to zero, then either one or both numbers has to equal zero. If a.
What you will learn How to solve a quadratic equation using the quadratic formula How to classify the solutions of a quadratic equation based on the.
Warm-up 1.What are the different ways to solve quadratic equation? Solve the following problem by completing the square.
The Quadratic Formula Students will be able to solve quadratic equations by using the quadratic formula.
Quadratics Solving Quadratic Equations. Solving by Factorising.
Warm-Up: Solve each equation. Essential Question  How do I use the quadratic formula?
Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.
6-2 Solving Quadratic Equations by Graphing Objectives: Students will be able to 1)Solve quadratic equations by graphing 2)Estimate solutions of quadratic.
1.4 Quadratic Equations. General Form of a Quadratic Equation A quadratic equation is also known as a second-degree polynomial equation.
Warm up – Solve by Taking Roots. Warm up – Solve by Completing the Square.
Chapter 4: Polynomial and Rational Functions. 4-2 Quadratic Equations For a quadratic equation in the form ax 2 + bx + c = 0 The quadratic Formula is.
Quadratic Formula. Solve x 2 + 3x – 4 = 0 This quadratic happens to factor: x 2 + 3x – 4 = (x + 4)(x – 1) = 0 This quadratic happens to factor: x 2.
Section )by graphing (using the calculator to identify the roots (x-intercepts)) 2)by factoring 3)by “completing the square” 4)by Quadratic Formula:
Chapter 5 Section 5 Solving Quadratic Equations
Algebra 3 Lesson 2.6 Objective: SSBAT solve quadratic equations. Standards: M11.D
Notes Over 9.4 Checking a Solution Using a Graph The solution, or roots of an equation are the x-intercepts. Solve the equation algebraically. Check the.
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.
9.4 Solving Quadratic Equations Standard Form: How do we solve this for x?
Notes P.5 – Solving Equations. I. Graphically: Ex.- Solve graphically, using two different methods. Solution – See graphing Calculator Overhead.
Day 9 Geometry.
Warm up ON A SEPARATE SHEET OF PAPER, ANSWER THE FOLLOWING:
Warm up – Solve by Completing the Square
Solve the following quadratics
Aim: What are the properties of a quadratic equation?
ACT QUESTION OF THE DAY Part 3.
Solving Quadratic Equations by the Complete the Square Method
Warm up – Solve by Taking Roots
Homework Review.
Complex Numbers and Roots
Use the Quadratic Formula and the Discriminant
5-Minute Check Lesson 4-2 Answer: 2
9.3 Solving Quadratic Equations
SECTION 9-3 : SOLVING QUADRATIC EQUATIONS
Warm-up Solve using the quadratic formula: 2x2 + x – 5 =0
1. Use the quadratic formula to find all real zeros of the second-degree polynomial
9.4 Solving Quadratic Equations
Ch3/4 Lesson 9 The Discriminant Nature of the ROOTS
Zeros to Quadratic Functions
Section 4.3 Solve.
Sec. 1.4 Quadratic Equations.
Section 4.4 Solve.
Flashback The lead of a screw is the distance that the screw advances in a straight line when the screw is turned 1 complete turn. If a screw is.
Solving Quadratic Equations by Factoring
Objective - To solve quadratic equations by completing the square.
Quadratic Equations.
Algebra II 5.2, 5.3 and 5.5 Review Please give exact simplified answers unless you are instructed to round!
Solving Quadratic Equations by Factoring
The following slides contain repeats of information on earlier slides, shown without colour, so that they can be printed and photocopied. For most purposes.
Let’s see why the answers (1) and (2) are the same
Solve quadratic equations using the: QUADRATIC FORMULA
Solving Special Cases.
Quadratic Formula & Discriminant
L5-7 Objective: Students will be able to solve quadratics by using the quadratic formula.
3.6 Solve Quadratics by Finding Square Roots
Bell Ringer (in your Math Journal)
quadratic formula. If ax2 + bx + c = 0 then
Presentation transcript:

Flashback 9-6-12 1. Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year? A. 16 B. 17.5 C. 20.5 D. 22 E. 35 2. In the figure below, ray EF was constructed starting from rays ED and EG. By using a compass, D and G were marked equidistant from E on rays ED and EG . The compass was then used to locate a point F, distinct from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of <DEF and <GEF: F. are equal. G. are NOT equal. H. sum to 30°. J. sum to 45°. K. sum to 60°.

What did the zero say to the 8? Joke of the day What did the zero say to the 8?

Nice belt!

Solving quadratic equations Factoring Extracting Square Roots Completing the square Quadratic Formula Using a graphing calculator

Graphically Completing the square

Graphically Quadratic Formula

Homework p. 50 Ex. 7, 12, 14, 17, 20, 24

Exit Slip Complete p. 50 Ex. 2,4,26, 30, 35 Place on your homework sheet.