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Chapter 9: Q. 199E (page 919)

The product of two consecutive odd numbers is 483. Find the numbers.

Short Answer

Expert verified

Two consecutive odd integers whose product is 483 are21,23and-23,-21

Step by step solution

01

Step 1. Given information

There are two consecutive odd numbers. Its product is 483.

Find theses numbers using quadratic equation.

02

Step 2. Calculation

Consider first odd number is x. so second consecutive odd number is x+2.

So the equation becomes xx+2=483.

x2+2x-483=0.

Solve the equation.

localid="1645150649305" x-21x+23=0

Use the Zero Product Property.

x-21=0鈬�x=21

x+23=0鈬�x=-23

03

Step 3. Conclusion.

  • If first odd number is 21 then second odd number is 23.
  • If First odd number is -21 then second even number is -23

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