Section 7.6 Solving Radical Equations. Key Ideas How do you: Un-Square Something?  Square-Root it! Un Cube Something?  Cube-Root it! Un-Square-Root.

Slides:

Advertisements

Similar presentations

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

Advertisements

Square Roots Objective I can simplify radicals I can use the square root property to solve equations.

Solve Equations with Exponents In addition to level 3.0 and above and beyond what was taught in class, students may: - Make connection with other.

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

Radical Equations: KEY IDEAS An equation that has a radical with a variable under the radicand is called a radical equation. The only restriction on to.

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

Solving 2 Step Equations.

Step 1: Simplify Both Sides, if possible Distribute Combine like terms Step 2: Move the variable to one side Add or Subtract Like Term Step 3: Solve for.

Solving Quadratic Equations by Completing the Square

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 a radical equation

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

Warm-up Find the domain and range from these 3 equations.

Tonight’s Homework: 6-6: (page 456) (evens): 4 – 18, 24, 28, 32 – 38, 46, 50, 58 (17 points) (17 points)

Quiz Are the following functions inverses of each other ? (hint: you must use a composition each other ? (hint: you must use a composition.

Solving equations Section 1.4.

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.

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

Unit 7 Quadratics Radical Equations Goal: I can solve simple radical equations in one variable (A-REI.2)

Chapter 7 Day 3 Book Section 7.5 Get 2 grids for the 2 shift problems!

Lesson 1-8 Solving Addition and Subtraction Equations.

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.

2.1 Solving One Step Equations: Equivalent Equations: equations that have the same solutions. Isolate: Get a variable with a coefficient of 1 alone on.

Warm Up for Section 3.3 Factor: (1). x2 – 49 (2). x2 + 6x – 16

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.

Mon 1/11 Lesson 6 – 5 Learning Objective: To solve square root equations Hw: Lesson 6 – 5 WS 1.

Solving Inequalities Using Addition & Subtraction.

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.

4.3 Notes : Solving Radical Equations A radical equation is an equation that contains a variable under a radical symbol The parent radical function is.

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

IT’S RADICAL!! SOLVING RADICAL EQUATIONS. SIMPLE RADICAL EQUATIONS – FIRST STEPS GIVEN: 1.Make sure the radical is on one side of the equation and 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.

Problem Solving with Two-Step Equations Objective: Learn to use more than one inverse operation to solve an equation.

Algebra-2 Section 6-6 Solve Radical Functions. Quiz Are the following functions inverses of each other ? (hint: you must use a composition.

Solving Two-Step Equations Integrated Math I. What is a Two-Step Equation? An equation that requires two steps to solve.

14.0 Math Review 14.1 Using a Calculator Calculator

7.6 Solving Radical Equations

Solve Radical Equations

Objective Solve radical equations..

Problem Solving with Two-Step Equations

25 Math Review Part 1 Using a Calculator

Solve a quadratic equation

Solving Two-Step Equations

7.6 Solving Radical Equations

Solving Equations Containing

Solving Equations Containing

Solving Radical Equations

Solving Equations Containing

Problem Solving with Two-Step Equations

Squaring a value and finding its square root is the opposite

Solving One Step Equations

- Finish Unit 1 test - Solving Equations variables on both sides

Solving Square Root Equations

SECTION 10-4 : RADICAL EQUATIONS

Solving Radical Equations

Solving a Radical Equation

Radical Equations ICM 1/31/19.

6-7: Solving Radical Equations

Solving Two Step Algebraic Equations

Notes Over Using Radicals

7.6 Solving Radical Equations

Warm UP Simplify .

6.6 Solve Radical Equations

Solving Equations Containing

Equations Involving Absolute Value

Presentation transcript:

Section 7.6 Solving Radical Equations

Key Ideas How do you: Un-Square Something?  Square-Root it! Un Cube Something?  Cube-Root it! Un-Square-Root Something?  Square it! Un Cube-Root Something?  Cube it! If you do something to one side of the equation, you have to do that to the other side. When solving equations, you have to undo the order of operations in the opposite order.

Solve and Check! We have to get rid of the square root, so we square both sides. On the left, the square-root and square, cancel out. Add 2 to both sides. Don’t forget to check!

Solve and Check! Add 2 to both sides. Square both sides. Don’t forget to check! Subtract 3.

Solve and Check! Don’t forget to check! That’s not true!

What does this mean? A solution that doesn’t check is called an “extraneous solution.” Therefore, the equation we started with has no solutions. Why? We did all the math correctly, but when we checked our solution, it didn’t work.

You Try One! Solve and Check!

Try Another One! Solve and Check

Last One for Now! Solve and Check