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

Slides:

Advertisements

Similar presentations

Warm up 1. Solve 2. Solve 3. Decompose to partial fractions -1/2, 1

Advertisements

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

6.8 –Systems of Inequalities. Just like systems of equations, but do the inequality part!

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.

Solve a radical equation

Solve an equation with an extraneous solution

Solving equations Section 1.4.

Solve an equation with an extraneous solution

Set Operations and Compound Inequalities. 1. Use A = {2, 3, 4, 5, 6}, B = {1, 3, 5, 7, 9}, and C = {2, 4, 6, 8} to find each set.

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.

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

3.6 Solving Absolute Value Equations and Inequalities

5.2 – Solving Inequalities by Multiplication & Division.

1.6 Absolute Value Equations and Inequalities. Solving an Absolute Value Equation What is the solution of | 2x – 1 | = 5? Graph the solution. | 2x – 1.

3.7 Absolute value DAY 2. Solve for x----no notes on this slide (just watch). |x| = 5 |x + 2| = 5 x = 5 or x = -5 x + 2 = 5 or x + 2 = -5 x =

Solve and graph on number line.. 2(m + 3.2) + 0.1(2.6m -.2) = 12.8.

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

Chapter 5 Section 5 Solving Quadratic Equations

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

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.

NOTES REV.5 Graph Square Root Equations and Inequalities.

Solving Radical Equations Steps Examples. Solving an Equation Containing a Radical  Steps  Isolate the radical  Take BOTH sides to the power.

Solving Inequalities Using Addition and Subtraction

Notes Over 1.6 Solving an Inequality with a Variable on One Side Solve the inequality. Then graph your solution. l l l

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

Chapter 4 Lesson 4 Additional Equations and Inequalities.

Warm-Up: Solve and Graph  1.  2.. CHAPTER 6 SECTION 4 Solving Absolute-Value Equations and Inequalities.

5.8 Radical Equations and Inequalities

3.3 – Solving Systems of Inequalities by Graphing

Rational Exponents and Solving Radical Equations

Solving Systems Using Substitution

Drill Write the compound inequality for the following graphs.

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 Equations Containing

Essential Questions Solving Radical Equations and Inequalities

9.3 Solving Quadratic Equations

Solving Linear Systems by Graphing

Warm Up Solve each of the quadratic functions: x2 – 3 = 0

Solving Equations Containing

7.5 Solving Radical Equations

Solving absolute value equations

Math 71B 7.6 – Radical Equations.

6.4 Solving Radical Equations

Solving Radical Equations

Solving Quadratic Equations using Square Roots

7.5 Solving Radical Equations

Solving Equations Containing

Warmup Find the exact value. 1. √27 2. –√

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

9.2 Solving Quadratic Equations using square roots

Unit 7, Lesson 1 Trigonometry / Pre-Calculus

2nd 9 Weeks MidPoint Review

SECTION 10-4 : RADICAL EQUATIONS

Solving Radical Equations

Solving a Radical Equation

Solving Equations with Variables on Both Sides

Solving Equations with Variables on Both Sides

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

12.3 Solving Radical Equations

6-7: Solving Radical Equations

7.5 Solving Radical Equations

Exercise Solve x – 14 = 35. x = 49.

Example 5A: Solving Simple Rational Equations

Do Now Solve. 1. –8p – 8 = d – 5 = x + 24 = 60 4.

Solving Absolute Value and Radical Equations

Warm UP Simplify .

Solving Equations Containing

Presentation transcript:

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

Radical Equations

Example 1

Try This Solve. Check your solution.

Try This Solve. Check your solution. Isolate the radical. Square both sides. Solve

Try This Solve. Check your solution. Isolate the radical. Square both sides. Solve Check.

Try This Solve. Check your solution. Isolate the radical. Square both sides. Solve On the calculator:

Example 2

Try This Solve. Check your solution.

Try This Solve. Check your solution. Square each side. Solve.

Try This Solve. Check your solution. Square each side. Solve. Check.

Try This Solve. Check your solution. Square each side. Solve. On the calculator:

Example 3

Try This Solve. Check your solution.

Try This Solve. Check your solution. Square both sides. Solve.

Try This Solve. Check your solution. Square both sides. Solve. Check.

Example 4

Example 5

Example 6

Try This Solve. Check you solution.

Try This Solve. Check you solution.

Try This Solve. Check you solution.

Try This Solve. Check you solution.

Try This Solve. Check you solution.

Example 7

Try This Solve by graphing. Give the solution to the nearest tenth.

Try This Solve by graphing. Give the solution to the nearest tenth. Where is the line below the curve?

Homework Page every 4 th problem