Algebra 1 9.6 Solving Quadratic Equations by the Quadratic Formula.

Slides:

Advertisements

Similar presentations

7-5 solving quadratic equations

Advertisements

Chapter 9: Quadratic Equations and Functions

FactoringComplete the Square Quadratic Formula GraphingRoots $ 100 $ 200 $ 300 $ 400 End.

Solving Quadratics Tutorial 11g Relating to the Real World Members of the science club launch a model rocket from ground level with a starting velocity.

HW: Pg. 287 #47-67eoo, 73, 75, 79, 81. ___________________, 5.6 The Quadratic Formula and the Discriminant _________. ______________, ____________________.

The Quadratic Formula 9-9 and the Discriminant Warm Up

The Quadratic Formula 9-9 and the Discriminant Warm Up

If b2 = a, then b is a square root of a.

The Quadratic Formula 8-9 and the Discriminant Warm Up

Graphs of Quadratic Functions Any quadratic function can be expressed in the form Where a, b, c are real numbers and the graph of any quadratic function.

Using the factoring method, what are the solutions of y = x 2 + 5x + 6.

Applications Day 1. Do Now 1) Find a quadratic equation to best model the data below using your graphing calculator. Use your equation to answer the question.

Algebra 1B Chapter 9 Solving Quadratic Equations The Discriminant.

Unit 2 – Quadratic, Polynomial, and Radical Equations and Inequalities Chapter 5 – Quadratic Functions and Inequalities 5.8 – Graphing and Solving Quadratic.

Chapter 5 Quadratic Functions Review. Question 1a Identify the vertex, the axis of symmetry, create a table, then graph. y = x² - 8x + 5.

Goals: To solve quadratic equations by using the Quadratic Formula.

Algebra 9.5 Solving Quadratic Equations Using the Quadratic Formula This is an important section as there are many questions on the STAR test about the.

4.8 – Use the Quadratic Formula and the Discriminant

Unit 2 – Quadratic, Polynomial, and Radical Equations and Inequalities Chapter 5 – Quadratic Functions and Inequalities 5.2 – Solving Quadratic Equations.

Holt Algebra The Quadratic Formula and the Discriminant Warm Up (Add to HW & Pass Back Papers) Evaluate for x =–2, y = 3, and z = – x 2 2.

Section 10-7 & 8 Quadratic Formula and Discriminant SPI 23E: Find the solution to a quadratic equation given in standard form SPI 23H: select the discriminant.

In this lesson you will learn how to use the quadratic formula to solve any quadratic equation. Using the Quadratic Formula THE QUADRATIC FORMULA The solutions.

5.6: The Quadratic Formula and the Discriminant Objectives: Students will be able to… Solve a quadratic equation using the quadratic formula Use the discriminant.

SECTION 3.4 POLYNOMIAL AND RATIONAL INEQUALITIES POLYNOMIAL AND RATIONAL INEQUALITIES.

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.

Solve each quadratic equation by factoring. 1. x2 + 8x + 16 = 0 2. x2 – 22x = 0 3. x2 – 12x + 36 = 0.

WHAT DOES IT MEAN TO SOLVE QUADRATIC FUNCTIONS? WHAT ARE ALL OF THE…

Quadratic Formula: gives the solution of in terms of the coefficients a, b & c. The solutions of the quadratic equation are.

Solving Quadratic Equations by Factoring 8-6

Lesson 9-8 Warm-Up.

SWBAT… solve quadratic equations in the form a x 2 + bx + c Tues, 5/14 Agenda 1. Warm-up (10 min) 2. Review HW#1 and HW#2 (20 min) 3. ax 2 + bx + c = 0.

9.5 - The Quadratic Formula

Algebra The Quadratic Formula Objectives: Use the quadratic formula to solve a quadratic equation Why do you have to be a nonconformist like everybody.

7-6 USING THE QUADRATIC FORMULA ALGEBRA 1 CP OBJECTIVE: USING THE QUADRATIC FORMULA TO SOLVE QUADRATIC EQUATIONS.

Entry Task. Solving Quadratic Equations by the Quadratic Formula Learning Target: I can use the quadratic formula to solve a quadratic equation.

10.6 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Solve Quadratic Equations by the Quadratic Formula.

THE QUADRATIC FORMULA §5.8. VIDEO TIME! Quadratic Forumlatic Quadratic Cups Song Quad Solve.

Warm Up Find each product. 1. (x + 2)(x + 7) 2. (x – 11)(x + 5)

Section 10.6 Solve Any Quadratic Equation by using the Quadratic Formula.

The Quadratic Formula. y = ax 2 + bx + c (Standard Form) * To apply the formula, you must write the equation in standard form first! x 2 +5x = 14 (not.

Objectives: Use the quadratic formula to solve a quadratic equation Use quadratic models for real-life situations.

Bonus! Multiplying Binomials Factoring Solving By Factoring.

9-4A Solving Quadratic Equations by Using the Quadratic Formula Algebra 1 Glencoe McGraw-HillLinda Stamper.

Warm-Up Exercises Evaluate the expression for the given value of x – (–x) + 9; x = – – x + 3; x = 8 ANSWER 22 ANSWER 9.

ALGEBRA 1 Lesson 9-7 Warm-Up. ALGEBRA 1 “Using the Quadratic Formula” (9-7) What is the “quadratic formula”? When and how do you use the quadratic formula?

The Quadratic Formula Quadratic Equation Quadratic Formula.

Chapter 4 Section 8. EXAMPLE 1 Solve an equation with two real solutions Solve x 2 + 3x = 2. x 2 + 3x = 2 Write original equation. x 2 + 3x – 2 = 0.

9-6A Solving Quadratic Eq.’s with Quadratic Formula Algebra 1.

2.2 Solving Quadratic Equations Algebraically Quadratic Equation: Equation written in the form ax 2 + bx + c = 0 ( where a ≠ 0). Zero Product Property:

Algebra 1 Section 9.1 Evaluate square roots Solve simple quadratic equations Note: 5 2 = 25 and (-5) 2 = 25 so both 5 and -5 are square roots of 25. What.

Lesson 9.5 Objective: To solve quadratic equations using the quadratic formula. Quadratic formula: When Then the value of x is… What formula can be used.

SOLVE QUADRATIC EQUATIONS BY GRAPHING. 5.2 Solving Quadratic Equations by Graphing.

Entry Task Simplify 1) √80 2 2)

The Quadratic Formula..

Algebra 2 Test 1 Review Trivia

Notes Over 9.6 Quadratic Formula

Using the Quadratic Formula

The Quadratic Formula 8-9 and the Discriminant Warm Up

The Quadratic Formula.

Using the Quadratic Formula

The Quadratic Formula CA 19.0, 20.0.

Notes Over 9.5 Quadratic Formula

APPLICATIONS OF QUADRATICS

Use the discriminant to find the number of solutions

Using the Quadratic Formula

The Quadratic Formula..

Solving Quadratics Algebraically

The Quadratic Formula..

Solving Quadratic Equations by

Presentation transcript:

Algebra Solving Quadratic Equations by the Quadratic Formula

QUADTRATIC FORMULA The solutions of the quadratic equation ax 2 + bx + c = 0 are When a ≠ 0 And b 2 – 4ac ≥ 0

Use the quadratic formula to solve the equation. 1. 2x 2 + x – 10 = x 2 + 3x + 4 = 0 3. x 2 + 5x – 6 = 0

Use the quadratic formula to solve the equation If the solution involves radicals, round to the nearest hundredth. 1. 7x 2 – 1 = -2x 2. -3x 2 + x = -5

X-INTERCEPTS OF A GRAPH Find the x-intercepts of the graph of y = x 2 - 3x – 10

Vertical Motion Models OBJECT DROPPED h = -16t 2 + s h = height s = initial height t = time OBJECT THROWN h = -16t 2 + vt + s h = height s = initial height t = time v = initial velocity

Model Vertical Motion You are competing in the field target event at a hot-air balloon festival. From a hot-air balloon directly over a target, you throw a marker with an initial downward velocity of -30 feet per second from a height of 200 feet. How long does it take the marker to reach the target?

Model Vertical Motion You jump off a 15-foot high diving board with an initial upward velocity of 3 ft/sec. How long will it take you to hit the water?