7.5 Solving Radical Equations Objective: Be able to solve square root equations and other radical equations.

Slides:

Advertisements

Similar presentations

Chapter 6 Radical Functions and Rational Exponents.

Advertisements

Chapter 5 Sec 8 Radical Equations. 2 of 7 Chapter 5 Sec 8: Radical Equations Solve Radical Equations Equations with radical that have variables in the.

Solving Radical Equations and Inequalities

Remember! For a square root, the index of the radical is 2.

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.

Ch 10.3 Solving Radical Equations Objective: To solve equations involving square roots (and equations involving perfect squares).

Radicals Solving Radical Equations. 9/9/2013 Radicals 2 What is a radical ? Symbol representing a fractional power Radical with index: For roots other.

7.3 Solving Radical Equations

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

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 Find the domain and range from these 3 equations.

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

Chapter 7 – Powers, Roots, and Radicals

Solving equations Section 1.4.

Drill #75: Simplify each expression. Drill #76: Solve each equation.

SECTION 7-3: SOLVING RADICAL EQUATIONS Solve equations that contain radicals or rational exponents.

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.

SOLVING RADICALS Unit 4 Radicals. Steps to solve radical equations A radical equation is a equation with a variable under the radical sign! STEPS: 1)

7.5 Warm-Up Solve. 1. x5/2 = x2/ = 24 x2/3 = 9

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.

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

Chapter multiplying and dividing rational expressions.

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.

Warm Up Simplify each expression. Assume all variables are positive

7.5 Solving square root and other radical equations.

7.5 Solving Square Roots & Other Radical Equations (Day 1)

Section P7 Equations. Solving Rational 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.

Radical Equation Equation with a variable under radical sign Extraneous Solutions: Extra solutions that do not satisfy original equation because of the.

Warm-Up Find the inverse: 1.3y = 12x f(x) = ½x + 8.

7.7 Solving Radical Equations and Inequalities. Vocabulary Radical equations/inequalities: equations/inequalities that have variables in the radicands.

5-8 RADICAL EQUATIONS & INEQUALITIES Objectives Students will be able to: 1) Solve equations containing radicals 2) Solve inequalities containing radicals.

7.5a Solving Radical Equations. Radical Equations To solve a radical equation 1.Isolate the radical completely 2.Raise both sides to the power of the.

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 Ch.7 Notes Page 50 P Solving Square Roots and Other Radical Equations (Part 1)

Solving Radical Equations and Inequalities Section 5.8.

4A.3 - Solving Radical Equations and Inequalities

Aim #1.6: How do we solve other types of equations?

5.8 Radical Equations and Inequalities

Solving Radical Equations and Inequalities

Solve Radical Equations

Objective Solve radical equations..

6-1 Radical Functions & Rational Exponents

6.5 Solving Radical Equations & Inequalities

Rational Exponents and Solving Radical Equations

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

3-8 Solving Radical equations

7.5 Solving Radical Equations

7.5 Solving Radical Equations

6.4 Solving Radical Equations

Solving Radical Equations

7.5 Solving Radical Equations

Squaring a value and finding its square root is the opposite

Do Now: 1. Simplify. 2. What is the index? What is the radicand?

SECTION 10-4 : RADICAL EQUATIONS

2.1 Solving Radical Equations

Solving a Radical Equation

Bellwork. Bellwork Equations with radicals that have variables in their radicands are called radical equations. An example of a radical equation is.

Algebra II with Trigonometry Ms. Lee

7.5 Solving Radical Equations

Exercise Solve x – 14 = 35. x = 49.

Warm UP Simplify .

Honors Algebra II with Trigonometry Mr. Agnew

7-5 Solving Square Root and Other Radical Equations

Equations Involving Absolute Value

Presentation transcript:

7.5 Solving Radical Equations Objective: Be able to solve square root equations and other radical equations

Definitions A radical equation is an equation that has a variable in a radicand (or a variable with a fractional exponent). Steps to solving a radical equation: 1)Isolate the radical on one side of the equation. 2)Raise both sides of the equation to the same power. 3)Check your solution(s). Some may be extraneous.

Solving - *check for extraneous solutions

CHECK!!

Solving - *check for extraneous solutions

CHECK!!

Solving - *check for extraneous solutions

CHECK!!

Solving - *check for extraneous solutions Ex4) Solve

Solving - *check for extraneous solutions CHECK!!

Solving - *check for extraneous solutions Ex5) Solve

Solving - *check for extraneous solutions CHECK!!

Solving - *check for extraneous solutions PRACTICE!!

Solving - *check for extraneous solutions PRACTICE!!

6) The volume V of a sphere and its radius r are related by the following cube root equation. What is the volume of a sphere with a radius of 6 cm? Solving - *check for extraneous solutions

Homework #11  web code: age-0705 WATCH These Videos: #2. Solving radical equations with rational exponents #3. Solving radical equations and checking for extraneous solutions #4. Solving equations with two rational exponents DO These Problems: Pg 394 #1, 5, 7, 9, 11, 18, 20, 21, 27