Quadratic Equation U n i t Solving by taking the Square Root Medina 1.

Slides:

Advertisements

Similar presentations

Radical Unit Simplifying Radicals Medina.

Advertisements

Solving Quadratic Equations Quadratic Formula Medina1.

Square Roots and Solving Quadratics with Square Roots

A radical equation is an equation that contains a radical.

Other Types of Equations

Ch 9: Quadratic Equations B) Square Roots Objective: To solve quadratic equations using square roots.

R a d i c a l U n i t Square Roots of Prefect Squares Medina1.

EXAMPLE 2 Rationalize denominators of fractions Simplify

2.13 Warm Up x² - 2x + 15 = 0; 3 x² + 3x – 4 = 0; 1

3.6 Solving Quadratic Equations

Solving Quadratic Equations – Square Root Method The square root method can be used to solve a quadratic equation that can be set up into the following.

Rational and Irrational Numbers. √ 3 64 Index Radical Radicand.

Objectives: Solve equations of the form ax 2 = k. Solve equations of the form ax 2 = k where x is replaced by an algebraic expression. Standard Addressed:

Exponents and Powers Power – the result of raising a base to an exponent. Ex. 32 Base – the number being raised to the exponent. Ex is the base.

5.6.1 – Square Root Method. Recall, we solved “quadratic equations” when we set a polynomial equation equal to 0 Example. x 2 + 5x + 6 = 0.

Goal: Solving quadratic equations by finding square roots.

Radicals Tammy Wallace Varina High. Perfect Squares A number is a perfect square if it is the product of a number and itself. The first 12 perfect squares:

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

Derivation of the Quadratic Formula The following shows how the method of Completing the Square can be used to derive the Quadratic Formula. Start with.

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

Taking the n th Root to Solve Equations Chapter 7.1.

5.3 Solving Quadratic Functions with Square Roots Step 1: Add or subtract constant to both sides. Step 2: Divide or multiply coefficient of “x” to both.

Chapter 5.9 Complex Numbers. Objectives To simplify square roots containing negative radicands. To solve quadratic equations that have pure imaginary.

Square Roots Unit 1D Day 17. Do Now What are the factors of x ² + 2 x – 3? Solve for x : x ² + 2 x – 3 = 0 What are the x -intercepts of y = x ² + 2 x.

9.1c SKM & PP 1 Quadratic Equations. 9.1c SKM & PP 2 Square Roots: Know Your Squares! Consider this equation: What number(s) could be squared to give.

By, Mrs. Muller. This is the Radical Sign 3 This is the Index: When there is no number, it is a 2 4 This is the Radicand.

A radical equation is an equation that contains a radical. BACK.

11.3 Solving Radical Equations Definitions & Rules Simplifying Radicals Practice Problems.

Algebra 3 Lesson 2.6 Objective: SSBAT solve quadratic equations. Standards: M11.D

Quadratic Equation U n i t Simplifying Radicals Medina 1.

Solving Quadratic Equations by Completing the Square

Quadratic Equation Unit

Solving Quadratic Equations by Completing the Square

Write each expression as a trinomial.

9.1 Solving quadratic equations using square roots

SHAPE & SPACE Squares & Square Roots.

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

1B.1- Solving Quadratics:

Solving Quadratic Equations by Completing the Square

Getting the radical by itself on one side of the equation.

Square Roots of Perfect Squares

10.5 Use Square Roots to Solve Quadratic Equations

Solving Quadratic Equations by Completing the Square

Review of Radicals and Quadratic Equations

Solving Radical Equations

Warm Up Identify the perfect square in each set

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Radicals Review.

Solving Radical Equations

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

7.2 Cube Roots Essential Question:

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Expressions & Equations Jeopardy

Solving Quadratic Equations by Finding Square Roots

Objective Solve radical equations.. Objective Solve radical equations.

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Complete the Square January 16, 2017.

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Warm Up Simplify

Presentation transcript:

Quadratic Equation U n i t Solving by taking the Square Root Medina 1

Solve: Medina 2 3. Simplify the radical 2. Square root both sides and write ± for each root variable Solving Equations by Taking the Square Root on Both Sides ★ It’s important to note that we can only solve by taking the square root on both side, when the quadratic has no b value.

Square Roots x x =x² What is the value of ? Ask yourself, what times it self equals x²?

Solving by Taking the Square Root Medina4

Solving Equations with Perfect Squares Medina 5 To Solve: Means there are 2 answers

Solving Equations with Perfect Squares Medina 6 To Solve: Means there are 2 answers

Solving Equations with Non-Perfect Squares Medina 7 To Solve: Means there are 2 answers

Remember what Square Roots Mean Medina 8 Square Root 8 The number being multiplied to itself to get the radicand The expression being multiplied to itself 2 times to get the radicand Ask yourself, what times it self equals 64?

Solving by Taking the Square Root Medina9

Solving Equations with Parenthesis Medina 10 To Solve: Means there are 2 answers Is the x by itself?

Solving Equations with Parenthesis Medina 11 To Solve: Means there are 2 answers Is the x by itself?