Solve each equation. 1. 3x +5 = 17 2. 4x + 1 = 2x – 3 3. (x + 7)(x – 4) = 0 4.x 2 – 11x + 30 = 0 ALGEBRA O.T.Q.

Slides:

Advertisements

Similar presentations

Homework Solution lesson 8.5

Advertisements

Solving Radical Equations and Inequalities 5-8

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

Solving Equations Algebra Tiles.

Solve an equation with variables on both sides

© 2007 by S - Squared, Inc. All Rights Reserved.

Solving Radical Equations

Solving Equations Containing To solve an equation with a radical expression, you need to isolate the variable on one side of the equation. Factored out.

Lesson 13.4 Solving Radical Equations. Squaring Both Sides of an Equation If a = b, then a 2 = b 2 Squaring both sides of an equation often introduces.

3.6 Solve Radical Equations

Solve an equation with an extraneous solution

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

Solving Radical Equations

Solve an equation with an extraneous solution

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)

Warm up! Simplify:. Solving Radical Equations What is a radical equation? An equation that contains a radical expression with a variable in the radicand.

5.6 Solving Quadratic Function By Finding Square Roots 12/14/2012.

Lesson 2.1, page 266 Complex Numbers Objective: To add, subtract, multiply, or divide complex numbers.

Essential Question: Describe the procedure for solving a radical equation.

2.1 Solving One Step Equations. Addition Property of Equality For every real number a, b, and c, if a = b, then a + c = b + c. Example 8 = For every.

Solve Linear Systems by Substitution January 28, 2014 Pages

Get radical alone. 5 Tues 1/12 Lesson 6 – 5 Learning Objective: To solve radical equations Hw: Lesson 6 – 5 WS 2.

4 = 4 Solve each equation. Check your answers. a. x – 5 = 4 x – 5 = 4

Essential Question: What must you do to find the solutions of a rational equation?

Radical Equations and Problem Solving Use the power rule to solve radical equations.

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

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

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.

Radicals Computing with Radicals Target Goals : Add, subtract, multiply, and divide radical expressions.

Solving 2 step equations. Two step equations have addition or subtraction and multiply or divide 3x + 1 = 10 3x + 1 = 10 4y + 2 = 10 4y + 2 = 10 2b +

6-2 Solving Systems Using Substitution Hubarth Algebra.

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 Equations with Variables on Both Sides. Review O Suppose you want to solve -4m m = -3 What would you do as your first step? Explain.

Holt Algebra Solving Radical Equations Warm Up(Add to Hw) Solve each equation. 1. 3x +5 = x + 1 = 2x – (x + 7)(x – 4) = 0 5. x 2.

Add ___ to each side. Example 1 Solve a radical equation Solve Write original equation. 3.5 Solve Radical Equations Solution Divide each side by ___.

Chapter 5 Radical Expressions and Equations

4A.3 - Solving Radical Equations and Inequalities

5.8 Radical Equations and Inequalities

Solving Radical Equations and Inequalities

Simplify each expression.

Solve Radical Equations

Objective Solve radical equations..

6.5 Solving Radical Equations & Inequalities

Equations with variables on both sides Whiteboard practice

Solve a quadratic equation

6-2 Solving Systems Using Substitution

Solving Radical Equations and Inequalities

Solving Equations Containing

4.3 - Solving Radical Equations and Inequalities

4A.3 - Solving Radical Equations and Inequalities

Solving One-Step Equations

Solving Equations Containing

Solving Radical Equations

Solving Equations Containing

Warm Up Solve each equation

Pre-calc w-up 10/21 simplify.

Solving one- and two-step equations

Squaring a value and finding its square root is the opposite

Equations with variables on both sides Whiteboard practice

SECTION 10-4 : RADICAL EQUATIONS

Warm Up Solve for x. Simplify Simplify

Solving a Radical Equation

Key Points (3-1) Add or Subtract to Solve Equations Introduction

12.3 Solving Radical Equations

Equations …. are mathematical sentences stating that two expressions are equivalent.

Aim: How do we solve radical equations?

Warm UP Simplify .

Label your paper DNA 7.

Solving Equations Containing

Presentation transcript:

Solve each equation. 1. 3x +5 = x + 1 = 2x – 3 3. (x + 7)(x – 4) = 0 4.x 2 – 11x + 30 = 0 ALGEBRA O.T.Q.

HOMEWORK QUESTIONS???

10.4 Solving Equations Containing

To solve a radical you need to isolate the variable on one side of the equation. EX: 1 Factor out the GCF Subtract x√6 Divide both sides by (1 - √6) Continues on next slide…

Multiply by conjugate EX: 1 continued

Don’t forget to check your work. Substitute 1 + √6 in for x

Let’s solve another example together. EX: 2 Square each side. Then F.O.I.L. the right side Divide both sides by 6 Continued on next slide Subtract 19n and add 20

Square both sides again F.O.I.L. the left side Subtract 19n and add 29 Factor and solve for n Continued on next slide EX: 2 continued

Check: n=2 Since the root of x=2 does not check, it is called an extraneous solution.

Check : n = 27 The solution is n=27

SUMMARY

CLASSWORK HOMEWORK Pages 644 – 645 #’s 2, 4, 6, 10 – 28 even, 31 Pages 646 #’s 39, 40, 44, 50, 66