Solving Quadratic Equations using the Quadratic Formula Objective: Students will be able to solve quadratic equations by using the quadratic formula.

Slides:

Advertisements

Similar presentations

11-2 Rational Expressions

Advertisements

Adding Fractions. By looking at the model below, we can easily see that 1 / / 3 = 2 / 3 Notice that we added only the numerators. Since the denominator.

© 2007 M. Tallman. Which would you prefer… …or 100 pennies? …carrying around a 1 dollar bill… Even though they are both equal, a dollar bill is more “simple”

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 = ±

Simplifying Fractions using GCF. Factor A number that divides evenly into another number. A number that divides evenly into another number.

Square Roots Simplifying Square Roots

9.1 – Students will be able to evaluate square roots.Students will be able to solve a quadratic equation by finding the square root. 1. 3x +(– 6x) Warm-Up.

Solving Quadratic Equations using the Quadratic Formula Page 3 General equation of a quadratic: Quadratic Formula: Notice where the letters come from for.

Copyright © Cengage Learning. All rights reserved.

Using the Quadratic Formula to Solve a Quadratic Equation

Jeopardy Final Jeopardy Polynomial Rational Expression Complex Numbers QuadraticsFunctions Misc Q $100 Q $200 Q $300 Q $400 Q $500.

Fractions and Decimals

Equivalent Forms of Rational Numbers

HPC 1.4 Notes Learning Targets: - Solve equations using your calculator -Solve linear equations -Solve quadratic equations - Solve radical equations -

Square Roots and Radicals

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.

Fractions VI Simplifying Fractions

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 8 Rational Exponents, Radicals, and Complex Numbers.

DIRECT VARIATION In a DIRECT VARIATION, as one quantity increases, the other quantity increases. Equation of Direct Variation.

A Quadratic Equation is an equation that can be written in the form Solving Quadratic Equations – Factoring Method Solving quadratic equations by the factoring.

Warm Up Find the GCF of these sets 1) 10, 122) 14, 213) 24, 40 Answers: 1) 2 2) 7 3) 8.

Review of Radicals and Quadratic Equations Lesson 9.1.

1) What does x have to be for 3x = 0? 1) What does x have to be for 3(x -2) = 0 2) What does x have to be for (x–2) (x+3) = 0.

To add fractions, you need a common denominator. Remember!

1. Write 0.9% as a decimal. 1. Write 113% as a decimal. 1. Write as a percent. Round to the nearest tenth. 1. Write as a percent. Round to the nearest.

Solving Quadratic Equations using the Quadratic Formula

The Quadratic Formula Students will be able to solve quadratic equations by using the quadratic formula.

9.5 - The Quadratic Formula

Find the exact value. 1.) √49 2.) - √ Use a calculator to approximate the value of √(82/16) to the nearest tenth.

1/20/ :24 AM10.3 Multiplying and Dividing Expressions1 Simplify, Multiply and Divide Rational Expressions Section 8-2.

Unit 8 Seminar Agenda Solving Equations by Factoring Operations on Radical Expressions Complex Numbers.

Splash Screen. Then/Now You solved quadratic equations by completing the square. Solve quadratic equations by using the Quadratic Formula. Use the discriminant.

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.

EXAMPLE 3 Use the quadratic formula y = 10x 2 – 94x = 10x 2 – 94x – = 10x 2 – 94x – 300 Write function. Substitute 4200 for y. Write.

Lesson 4 Contents 11-3 Solving Quadratic Equations by Using the Quadratic Formula Objectives 1. Solve quadratic equations by using the Quadratic Formula.

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

Solving Equations That Lead to Quadratic Equations There are several methods one can use to solve a quadratic equation. Sometimes we are called upon to.

Write each fraction as a percent. When necessary, round to the nearest tenth of a percent. COURSE 2 LESSON 6-2 a Divide the numerator by the denominator.

The Quadratic Formula November 1, Quadratic Formula Methods to Solve Quadratics Equations Factoring But factoring is only “nice” when there are.

Solving Quadratics Review. We must solve to get x 2 by itself 1 st !

Warm-Up Solve each equation by factoring. 1) x x + 36 = 02) 2x 2 + 5x = 12.

Solving Quadratic Equations by Using the Quadratic Formula (9-5) Objective: Solve quadratic equations by using the Quadratic Formula. Use the discriminant.

“R” you ready? Love my Calculator Does this Compute?

Practice 1 Practice 2 Practice 3 Warm Up Use a calculator to evaluate. Round the results to the nearest hundredth.

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

Splash Screen. Then/Now You solved quadratic equations by completing the square. Solve quadratic equations by using the Quadratic Formula. Use the discriminant.

Solving Quadratic Equations using the Quadratic Formula

Simplifying Rational Expressions

Warm Up Use a calculator to evaluate

A B C D Solve x2 + 8x + 16 = 16 by completing the square. –8, 0

Using the zero product property to solve equations

Simplifying Fractions using GCF

Students will be able to simplify fractions and ratios (5-4).

3.4 Solve Using quadratic formula

Equation of Direct Variation

Solving Quadratic Equations using the Quadratic Formula

Solving Using Quadratic Equations

SECTION 9-3 : SOLVING QUADRATIC EQUATIONS

1B.1- Solving Quadratics:

Solving Quadratic Equations using Square Roots

Solving Quadratic Equations by Factoring

Algebra II 5.2, 5.3 and 5.5 Review Please give exact simplified answers unless you are instructed to round!

Equivalent Forms of Rational Numbers

Warmup - Simplifying Radicals

Warm Up #3 Find the exact value. 2. –√ √49 ANSWER –12 7 ANSWER

Solve for the leg and round the nearest tenth.

Concept 5 Rational expressions.

Presentation transcript:

Solving Quadratic Equations using the Quadratic Formula Objective: Students will be able to solve quadratic equations by using the quadratic formula

Solving Quadratic Equations using the Quadratic Formula General equation of a quadratic: Quadratic Formula: Notice where the letters come from for the formula We use the quadratic formula when something can not be factored. However, it also works for factorable quadratic equations as well. You must get equation equal to zero before you determine a,b, and c.

#1: Before you can find a,b, and c, you must get equation = to 0. Type what is under the radical exactly as written on your calculator. Simplify the radical Divide by the denominator, if you can Zeros:

#2: Simplify the radical Divide by the denominator, if you can. Since I can’t, divide by GCF Zeros: Solve the quadratic equation by using the quadratic formula and leave answers in simplest radical form.

Solve the quadratic equation by using the quadratic formula and round answers to the nearest tenth. #3: Since we are solving to the nearest tenth, we do not need to simplify the radical! Be careful when typing this into your calculator. I recommend that you type in the numerator then hit enter, then divide by denominator! Zeros:

#4: Solve the quadratic equation by using the quadratic formula and round answers to the nearest tenth. Zeros:

Solve the quadratic equation by using the quadratic formula and round answers to the nearest tenth. #5: Zeros

Solve the quadratic equation by using the quadratic formula and leave answers in simplest radical form. #6: Divide by the denominator, if you can. Since I can’t, divide by GCF Zeros: