Download presentation
Presentation is loading. Please wait.
Published byRoger Wheeler Modified over 5 years ago
1
Review: 10.1b Mini-Quiz Five hundred dollars ($500) is deposited in an account. At the end of 2 years, the balance in the account is $605. The interest earned on the account is compounded annually. What is the interest rate? The mathematical model used to find the interest earned on an account is: A = P(1 + r)t where A is the balance in the account, P is the amount deposited, r is the annual interest rate (in decimal form), and t is the number of years.
2
Class Greeting
3
Chapter 10 Quadratic Equations and Functions
Lesson 10-2a Solving Quadratic Equations by Completing the Square
4
Objective: Students will learn how to solve quadratic equations by completing the square.
5
Vocabulary a method used to make an equation a Perfect Square Trinomial equation.
6
Completing the Square If your equation is prime, you can make it a Perfect Square Trinomial equation to find the solutions. x2 – 10x = 0 x2 – 10x is PRIME COMPLETE THE SQUARE x2 – 10x = -18 Divide -10 by 2 and square the answer, you get 25 now add 25 to both sides x2 – 10x + 25 =7 (x – 5)2 = 7 = 7 (x – 5)2
7
= Solve an Equation by Completing the Square Solve: x2 –18x + 5 = –12.
64 x – 9 = ±8 x – = ±8 + 9 x = 9 ± 8 x = or x = 9 – 8 x = x = 1 Answer: x = 1, 17
8
Example 2 – Completing the Square: Leading Coefficient Is Not 1
Solve 2x2 + 5x = 3 by completing the square. The solutions are: and x x
9
Lesson 3 CYP3 Solve x2 – 8x + 10 = 30. A. {–2, 10} B. {2, –10}
D. Ø A B C D Lesson 3 CYP3
10
Lesson Summary: Objective: Students will learn how to solve quadratic equations by completing the square.
11
Preview of the next Lesson: Objective: Students will solve word problems involving quadratic equations by completing the square.
12
Do not round your answers.
Homework /3,11, Do not round your answers. Leave your answers as square roots.
13
Stand Up Please
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.