Construct a mathematical model and solve the following problem: The product of two consecutive numbers is 1640 . Find the numbers.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.3: Equations
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11)
Construct a mathematical model and solve the following problem:
The product of two consecutive numbers is 1640 . Find the numbers.
Solution:
Transcribed Image Text:11) Construct a mathematical model and solve the following problem: The product of two consecutive numbers is 1640 . Find the numbers. Solution:
Expert Solution
Step 1

Let x and x+1 be the number.

Here, the product of two consecutive numbers is 1640.

xx+1=1640x2+x=1640x2+x-1640=0

That is, the mathematical model for the product of two consecutive numbers 1640 is x2+x-1640=0.

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