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The sum of the squares of three consecutive odd integers is $515,$ find the integers.

$$11,13,15, \text { or }-15,-13,-11$$

Algebra

Chapter 0

Reviewing the Basics

Section 4

The Quadratic Formula and Applications

Equations and Inequalities

Harvey Mudd College

Baylor University

Idaho State University

Lectures

06:00

The sum of two consecutive…

01:33

The sum of the squares of …

02:09

04:54

Number Problem The sum of …

02:10

Consecutive integers. The …

01:09

Solve each problem.Fin…

01:36

The sum of three consecuti…

03:45

Write an equation and solv…

mhm We assume this three consecutive or integers are x minus two X and X plus two. So the some of this three or the integers is x minus two squared plus X squared fast X-plus two square vehicles. 515 first we multiply this square out. It becomes X squared miners four years plus four plus X squared plus X squared plus fax plus four echoes 515. Then we combine the similar terms three x squared plus eight equals 550 and then they subtract eight from both sides. It has become free X squared, your calls fire hand, Doriana standard. And then we divide both sides by three X squared equals 116. Then we know that X equals Plus a minor 13 So there's three consecutive or integers can be 11, 13 and 15, oh minus 15, 13 and -15 -13 and -11.

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