Default text (Verdana 24 pt) Default shape Dark blue outline, 3 pt weight Light blue fill Black text, centered Verdana 24 pt Variation (not exhaustive)

Slides:

Advertisements

Similar presentations

Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.

Advertisements

How do I solve quadratic equations? Notes Over Solving Quadratics Methods of Solving Quadratics Square Root Method: No bx term.

solution If a quadratic equation is in the form ax 2 + c = 0, no bx term, then it is easier to solve the equation by finding the square roots. Solve.

Taking a Square Root to Solve an Equation. Solve: In order to solve for x, you have to UNDO the squared first (i.e. square root) What are the number(s)

Default text (Verdana 24 pt) Default shape Dark blue outline, 3 pt weight Light blue fill Black text, centered Verdana 24 pt Variation (not exhaustive)

5.6.2 – Solving Quadratics with Square Roots. Yesterday, we looked at the properties of square roots 1) Multiplication Property 2) Division Property 3)

Many quadratic equations can not be solved by factoring. Other techniques are required to solve them. 7.1 – Completing the Square x 2 = 20 5x =

7.1 – Completing the Square

Default text (Verdana 24 pt) Default shape Dark blue outline, 3 pt weight Light blue fill Black text, centered Verdana 24 pt Variation (not exhaustive)

13-1 Introduction to Quadratic Equations  CA Standards 14.0 and 21.0  Quadratic Equations in Standard Form.

Continuing with Operation-Inverse Pairs Copyright 2014 Scott Storla.

9.4 – Solving Quadratic Equations By Completing The Square

Solving Quadratic Equations by Completing the Square

SOLVING QUADRATIC EQUATIONS COMPLETING THE SQUARE Goal: I can complete the square in a quadratic expression. (A-SSE.3b)

6-4 Completing the Square Objective: Students will be able to solve quadratic equations by completing the square.

Solving Equations by Extracting Roots

6-4 Completing the Square Objective: Students will be able to solve quadratic equations by completing the square.

Warmup 9-11 Solve the following equations by factoring. Show work! 1.x x - 80 = 0 2.Solve by using the quadratic formula: 4x 2 - 5x - 2 = 0 3.Solve.

Solving Quadratic Equations by Factoring. Solution by factoring Example 1 Find the roots of each quadratic by factoring. factoring a) x² − 3x + 2 b) x².

DO NOW: FACTOR EACH EXPRESSION COMPLETELY 1) 1) 2) 3)

Lesson 8-7 Quadratic Variation Objectives: Students will: Be able to find equations of direct, inverse, and joint quadratic variation Solving problems.

Quadratics Solving equations Using “Completing the Square”

Using square roots to solve quadratic equations. 2x² = 8 22 x² = 4 The opposite of squaring a number is taking its square root √ 4= ± 2.

Solving Quadratics. Methods for Solving Quadratics Graphing Factoring Square Root Method Completing the Square Quadratic Formula.

Completing the Square 4-6 Day 1 Today’s Objective: I can use the process of completing the square to solve or rewrite a quadratic equation.

Chapter 10.7 Notes: Solve Quadratic Equations by the Quadratic Formula Goal: You will solve quadratic equations by using the Quadratic Formula.

Do Now : Evaluate when x = 6, y = -2 and z = The Quadratic Formula and the Discriminant Objectives Students will be able to: 1)Solve quadratic.

Learning Task/Big Idea: Students will learn how to find roots(x-intercepts) of a quadratic function and use the roots to graph the parabola.

Default text (Verdana 24 pt) Default shape Dark blue outline, 3 pt weight Light blue fill Black text, centered Verdana 24 pt Variation (not exhaustive)

Warm-up 1.What are the different ways to solve quadratic equation? Solve the following problem by completing the square.

The Quadratic Formula Students will be able to solve quadratic equations by using the quadratic formula.

ALGEBRA 1 SECTION 10.4 Use Square Roots to Solve Quadratic Equations Big Idea: Solve quadratic equations Essential Question: How do you solve a quadratic.

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

LAST CHAPTER!!!!!!! Yay!!!!!!!!! 8.1 & 8.2 Direct, Inverse & Joint Variation.

Standard 20 The Quadratic Formula Example with numbers put in.

Section Direct and Inverse Variation. Lesson Objective: Students will: Formally define and apply inverse and direct variation.

Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.

6-2 Solving Quadratic Equations by Graphing Objectives: Students will be able to 1)Solve quadratic equations by graphing 2)Estimate solutions of quadratic.

Notes Over 10.7 Factoring Special Products Difference of Two Squares.

Quadratics Factoring quadratics to solve equations.

Vocabulary Square Root: If A = s 2, then s is a ____________________ of A. example: 25 = 5 2, 5 is a square root of 25 Cube Root: If V = s 3, then s is.

SOLVING QUADRATIC EQUATIONS BY COMPLETING THE SQUARE

Chapter 4: Quadratic Functions and Equations

Solving Quadratic Equations by the Complete the Square Method

Solving Quadratics by Completing the Square

9.3 Solving Quadratic Equations

Dark blue outline, 3 pt weight

Zeros to Quadratic Functions

Section 4.3 Solve.

Solving Radical Equations

Section 4.4 Solve.

Dark blue outline, 3 pt weight

Solving Quadratics Using Square Roots

7.7 Inverse Relations and Functions

Objective - To solve quadratic equations by completing the square.

Dark blue outline, 3 pt weight

Quadratic Equations.

9.2 Solving Quadratic Equations using square roots

Solving Square Root Equations

Solving Radical Equations

Find a if: a2 + b2 = c2 1.) c=10, b= 8 2.) c=20,b=16 3.) a2+152=172

Solving Quadratic Equations by Finding Square Roots

Solve by taking Square Roots

L5-7 Objective: Students will be able to solve quadratics by using the quadratic formula.

Direct Variation How else could we have solved for k?

Equations and Exponents

Solving Trigonometric Equations

Presentation transcript:

Default text (Verdana 24 pt) Default shape Dark blue outline, 3 pt weight Light blue fill Black text, centered Verdana 24 pt Variation (not exhaustive)

Objective: You will be able to solve equations involving squares and square roots

Solving Equations with Squares and Square Roots Flashback

Solving Equations with Squares and Square Roots Flashback

Solving Equations with Squares and Square Roots Inverse Operations Undo Each Other

Solving Equations with Squares and Square Roots Inverse Operations Undo Each Other Solve:Check: x + 7 = 10

Solving Equations with Squares and Square Roots Inverse Operations Undo Each Other Solve:Check: x 2 = 100

Solving Equations with Squares and Square Roots When solving quadratics of the form:

Solving Equations with Squares and Square Roots Inverse Operations Undo Each Other Solve:Check: x 2 = 81

Solving Equations with Squares and Square Roots Inverse Operations Undo Each Other Solve:Check:

Solving Equations with Squares and Square Roots Practice: Solve:Check: x 2 = 7

Solving Equations with Squares and Square Roots Practice: Solve:Check:

Solving Equations with Squares and Square Roots Practice: Solve:Check: x 2 = -25

Solving Equations with Squares and Square Roots Practice: Solve:Check:

Conclusion: You can now solve equations involving squares and square roots

Solving Equations with Squares and Square Roots Practice: Solve:Check:

Solving Equations with Squares and Square Roots Practice: In a number game, Rick was supposed to find the square root of a number. Instead, he squared the number and said, “16.” What number should Rick have given?