Wed 11/4 Lesson 4 – 7 Learning Objective: To solve using quadratic equations Hw: Lesson 4 – 7 WS.

Slides:

Advertisements

Similar presentations

Warm up – Solve by Taking Roots. Skills Check – Solve by Taking Roots.

Advertisements

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

4.8 Quadratic Formula and Discriminant

Bell Ringer: Find the zeros of each function.

Solving Quadratic Equations by the Quadratic Formula

4.8: Quadratic Formula HW: worksheet

Objectives: To solve quadratic equations using the Quadratic Formula. To determine the number of solutions by using the discriminant.

Warm up – Solve by Taking Roots. Solving by the Quadratic Formula.

Solving Quadratic Equations – The Discriminant The Discriminant is the expression found under the radical symbol in the quadratic formula. Discriminant.

9.9 The Fundamental Theorem of Algebra

Solving Quadratic Equations Using Completing the Square and the Quadratic Formula.

Goals: To solve quadratic equations by using the Quadratic Formula.

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.

Pre-Calculus Section 1.5 Equations Objectives: To solve quadratics by factoring, completing the square, and using the quadratic formula. To use the discriminant.

3.8 Warm Up Write the function in vertex form (by completing the square) and identify the vertex. a. y = x² + 14x + 11 b. y = 2x² + 4x – 5 c. y = x² -

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.

4.8 Do Now: practice of 4.7 The area of a rectangle is 50. If the width is x and the length is x Solve for x by completing the square.

The Quadratic Formula & Discriminant Essential question – How do you solve a quadratic equation using the Quadratic Formula?

Pre-Calculus Lesson 5: Solving Quadratic Equations Factoring, quadratic formula, and discriminant.

Quadratic Formula You can use this formula to find the solutions(roots) to a quadratic equation. This formula can be broken up into 2 parts: b 2 – 4ac.

Warm–up #10. Solve by Factoring Homework Log Thurs 10/15 Lesson 2 – 5 Learning Objective: To solve quadratic equations by quadratic formula Hw:

Lesson 5-6: Quadratic Formula Algebra II CP Mrs. Mongold.

4.2 Quadratic Functions Objective: Solve quadratic equations. Use the discriminant to describe the roots of a quadratic equation.

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

Notes Over 5.6 Quadratic Formula

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

4.8 “The Quadratic Formula” Steps: 1.Get the equation in the correct form. 2.Identify a, b, & c. 3.Plug numbers into the formula. 4.Solve, then simplify.

Chapter 4: Polynomial and Rational Functions. 4-2 Quadratic Equations For a quadratic equation in the form ax 2 + bx + c = 0 The quadratic Formula is.

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

Algebra 2 Notes March 23, Do you remember the Quadratic Formula? - Work with the people around you. Brainstorm and try and remember the quadratic.

Solving Quadratics Algebra 2 Chapter 3 Algebra 2 Chapter 3.

Title: ch. 6 Algebra: quadratic equations. Learning Objective: WALT solve quadratic equations by using the quadratic formula. p.143.

Warm Up  1.) Write 15x 2 + 6x = 14x in standard form. (ax 2 + bx + c = 0)  2.) Evaluate b 2 – 4ac when a = 3, b = -6, and c = 5.

Lesson 6.5: The Quadratic Formula and the Discriminant, pg. 313 Goals: To solve quadratic equations by using the Quadratic Formula. To use the discriminant.

5-8 Quadratic Formula Hubarth Algebra II. Ex 1 Using the Quadratic Formula Solve x = –3x. x 2 + 3x + 2 = 0 x = –b ± b 2 – 4ac 2a x = –3 ± (3) 2.

How do I solve quadratic equations using Quadratic Formula?

Do Now Use the standard form of a quadratic equation to find the a, b and c of each equation. ax2 + bx + c = 0 x2 – 6x + 10 = 0 2x2 + 3x + 4 = 0 x2 –

4.6 Quadratic formula.

Lesson 5.6: The Quadratic Formula & the Discriminant

The Quadratic Formula & Discriminant

Warm up – Solve by Taking Roots

The Quadratic Formula..

The QUADRATIC Discriminant.

Complex integers? Here a and b are integers.

Solve Quadratic Equations by the Quadratic Formula

4.6 Quadratic formula.

Sullivan Algebra and Trigonometry: Section 1.3

Warm – up #7 1. Solve by Factoring 3

Solve x2 + 2x + 24 = 0 by completing the square.

5.6 The Quadratic Formula and the Discriminant

4.8 The Quadratic Formula and the Discriminant

Unit 7 Day 4 the Quadratic Formula.

Skills Check ALL Factoring

4.8 Use the Quadratic Formula & the Discriminant

Warm up – Solve by Completing the Square

Quadratic Formula & the Discriminant

Review: Simplify.

Quadratic Equations.

Skills Check Solve by Factoring and Square Roots

Lessons The quadratic Formula and the discriminant

3.4 – The Quadratic Formula

The Discriminant.

Using the Quadratic Formula to Solve Quadratic Equations

Quadratic Formula & Discriminant

The Discriminant.

Aim: What is the nature of the roots of a quadratic equation?

9.4, 9.5, 9.6 Review Solving Quadratic Equations

Presentation transcript:

Wed 11/4 Lesson 4 – 7 Learning Objective: To solve using quadratic equations Hw: Lesson 4 – 7 WS

Algebra II

 To solve quadratic equations by using quadratic formula  To find discriminant  To understand what discriminant describes

= Real Roots

= 400 – Real Double Root

= 16 – 52 2 Imaginary Roots

Set = 0 a = 9 b = 7 c = –1

Distribute & Set = 0 a = 1 b = 2 c = –168 x = 12, –14

Discriminant = 0 1 Real Double Root x = 3 and x = 3 (counts twice!)