Other Types of Equations Solving an Equation by Factoring The Power Principle Solve a Radical Equation Solve Equations with Fractional Exponents Solve.

Slides:

Advertisements

Similar presentations

Table of Contents Example 1: Solve 3x = 0. Quadratic Equation: Solving by the square root method This method can be used if the quadratic equation.

Advertisements

Solving Radical Equations and Inequalities

College Algebra: Class 4 Radical Equations Objectives: Solve radical equations Solve equations quadratic in form Solve equations by factoring.

Solving Radical Equations and Inequalities 5-8

Table of Contents First, isolate the term containing the radical. Equation Containing Radicals: Solving Algebraically Example 1 (one radical): Solve Next,

7.8 Equations Involving Radicals. Solving Equations Involving Radicals :  1. the term with a variable in the radicand on one side of the sign.  2. Raise.

7.5 Solving Radical Equations. What is a Radical Expression? A Radical Expression is an equation that has a variable in a radicand or has a variable with.

Solving Equations That Are Quadratic in Form Solve equations by rewriting them in quadratic form. 2.Solve equations that are quadratic in form by.

Solving Quadratic Equations by Completing the Square

Table of Contents First note this equation has "quadratic form" since the degree of one of the variable terms is twice that of the other. When this occurs,

Section 6.6: Solve Radical Equations Starter: CC 6.5 Part 2.

Aim: How do we solve equations with fractional or negative exponents?

Unit 1 Expressions, Equations and Inequalities Copyright © 2014, 2010, 2007 Pearson Education, Inc Other Types of Equations.

Objectives: 1.Be able to solve a radical equation. 2.Be able to solve an equation that contains a rational exponent. Critical Vocabulary: Rational Exponents,

WARM-UP. 8.6 PRACTICE SOLUTIONS(14-33 EVEN) CLEAR UP A FEW THINGS.

Solving equations Section 1.4.

Quadratic Formula Standard Form of a Quadratic Equation ax 2 + bx + c = 0  example  x 2 + 6x + 8 = 0  we learned to solve this by:  factoring  completing.

Solving Quadratic Equations by Factoring. Solution by factoring Example 1 Find the roots of each quadratic by factoring. factoring a) x² − 3x + 2 b) x².

6.6 Solving Radical Equations. Principle of power: If a = b then a n = b n for any n Question: Is it also true that if a n = b n then a = b? Explain in.

Feb 9 and 10 Solving Square Root Equations. A radical equation is an equation that has a variable in a radicand (or a variable with a fractional exponent)

6.5 Solving Square Root and Other Radical Equations p390.

Equations Reducible to Quadratic

Other Types of Equations. Solving a Polynomial Equation by Factoring 1.Move all terms to one side and obtain zero on the other side. 2.Factor. 3. Apply.

Tom Worthing Intermediate Algebra All rights reserved. 1 Higher order equations Use Factoring method or calculator Know how many roots you will have Determine.

Taking the n th Root to Solve Equations Chapter 7.1.

Solving Radical Equations Chapter 7.6. What is a Radical Equation? A Radical Equation is an equation that has a variable in a radicand or has a variable.

Finding Numbers Find two consecutive positive even numbers whose product is – Applications of Quadratic Equations.

Notes Over 7.6 Solving a Simple Radical Equation Solve the equation. Check your solution.

Chapter multiplying and dividing rational expressions.

Radicals Solving Radical Equations Target Goals : Solve equations containing radicals or fraction exponents.

PreCalculus Section P.1 Solving Equations. Equations and Solutions of Equations An equation that is true for every real number in the domain of the variable.

Solving Radical Equations ALGEBRA 2 LESSON Algebra 2 Lesson 7-5 (Page 385)

Warm Up Simplify each expression. Assume all variables are positive

7.5 Solving square root and other radical equations.

7.5 Solving Radical Equations. What is a Radical Equation? A Radical Equation is an equation that has a variable in a radicand or has a variable with.

x + 5 = 105x = 10  x = (  x ) 2 = ( 5 ) 2 x = 5 x = 2 x = 25 (5) + 5 = 105(2) = 10  25 = 5 10 = = 10 5 = 5.

Algebra 2 Solving Radical Equations Section 7-5 Solving Square Root and Other Radical Equations Lesson 7-5.

Holt McDougal Algebra 2 Solving Radical Equations and Inequalities Solving Radical Equations and Inequalities Holt Algebra 2 Skills Check Skills Check.

Solving Radical Equations and Inequalities Objective: Solve radical equations and inequalities.

Chapter 8 Quadratic Functions.

4A.3 - Solving Radical Equations and Inequalities

Solving Linear Equations

Section 2.6 – Other Types of Equations

Solving Radical Equations and Inequalities

7.3 Solving Equations Using Quadratic Techniques

Method: Isolate the radical (leave it alone on one side of the equal sign). Raise each side of the equation to the power suggested by the index: square,

Solve Radical Equations

Objective Solve radical equations..

Solving Quadratic Equations by the Complete the Square Method

Warm Up: SIMPLIFY.

Rational Exponents and Solving Radical Equations

Aim: How do we solve equations with fractional or negative exponents?

7.5 Solving Radical Equations

Day 3 Warm-up A circular pond is modeled by the equation x2 + y2 = 225. A bridge over the pond is modeled by a segment of the equation x – 7y = – 75.

Solving Radical Equations and Inequalities

4.3 - Solving Radical Equations and Inequalities

4A.3 - Solving Radical Equations and Inequalities

9.3 Solving Quadratic Equations

Solving One-Step Equations

7.5 Solving Radical Equations

7.5 Solving Radical Equations

6.4 Solving Radical Equations

Solving Radical Equations

Solving Square Roots Unit 3 Day 3.

7.5 Solving Radical Equations

SECTION 10-4 : RADICAL EQUATIONS

6-7: Solving Radical Equations

7.5 Solving Radical Equations

Objective Solve radical equations.. Objective Solve radical equations.

College Algebra 1.6 Other Equations

Presentation transcript:

Other Types of Equations Solving an Equation by Factoring The Power Principle Solve a Radical Equation Solve Equations with Fractional Exponents Solve an Equation in Quadratic Form

Solve An Equation by Factoring Solve: x³ - 16x = 0 x(x² - 16) = 0 x(x + 4)(x – 4) = 0 x = 0 x + 4 = 0 x – 4 = 0 x = 0 x = -4 x = 4 x = -4, 0, 4

Solve A Radical Equation Solve: x = 2 + √2 - x x – 2 = √2 - x x² - 4x + 4 = 2 - x x² - 3x + 2 = 0 (x – 2)(x – 1) = 0 x – 2 = 0 x – 1 = 0 x = 2x = 1 When solving radical equations you must check your solutions.

Solve A Radical Equation Solve: √x √2x – 5 = 1 Isolate one of the radicals √x + 1 = 1 + √2x - 5 Square both sides. x + 1 = 1 + 2√2x – 5 + 2x - 5 Isolate the radical -x + 5 = 2√2x - 5 Square both sides x² - 10x + 25 = 4(2x – 5) x² - 10x + 25 = 8x - 20 x² - 18x + 45 = 0 (x – 3)(x – 15) = 0 x – 3 = 0x – 15 = 0 x = 3, 15 Check your solutions

Solve Equations With Fractional Exponents Solve: (x² + 4x + 52) 3/2 = 512 The reciprocal of 3/2 is 2/3, so raise each side to the ⅔ power [(x² + 4x + 52) 3/2 ] ⅔ = 512 ⅔ x² + 4x + 52 = 64 x² + 4x – 12 = 0 (x + 6)(x – 2) = 0 x + 6 = 0 x – 2 = 0 x = -6x = 2 x = {-6, 2}

Solve Equations in Quadratic Form Solve: 4x 4 – 25x² + 36 = 0 Let u² = x 4 and let u = x² 4u² - 25u + 36 = 0 Factor (4u – 9)(u – 4) = 0 4u – 9 = 0u – 4 = 0 u = 9/4 u = 4 Since u = x², substitute x² for u in the solutions x² = 9/4x² = 4 x = + 3/2x = + 2 x = {-2, -3/2, 3/2, 2} There is a table on page 100 that shows different types of equations that are in quadratic form.

Assignment Page 101 # 1 – 63 odd