Chapter 6: Q. 441 (page 637)

The product of two consecutive odd integers is $399$ .
Find the numbers.

Short Answer

Expert verified

The sets of consecutive odd integers are ${- 21, - 19}, {19, 21}$

Step by step solution

Step 1. Given

The product of two consecutive odd integers is $399$ .

Step 2. Find two consecutive odd integers

Let two consecutive odd integer as $n, n + 2$

Product= $399$

$n (n + 2) = 399 n^{2} + 2 n - 399 = 0 n^{2} + 21 n - 19 n - 399 = 0 n (n + 21) - 19 (n + 21) = 0 (n + 21) (n - 19) = 0$

So,

$n = - 21, 19$

The first set of consecutive integer is

${n, n + 2} {- 21, - 21 + 2} {- 21, - 19}$

The second set of consecutive integer is

${n, n + 2} {19, 19 + 2} {19, 21}$

Step 3. Required answer

The sets of consecutive odd integers are ${- 21, - 19}, {19, 21}$

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The product of two consecutive odd integers is $399$ .
Find the numbers.

Short Answer

Step by step solution

Step 1. Given

Step 2. Find two consecutive odd integers

Step 3. Required answer

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The product of two consecutive odd integers is 399.Find the numbers.

Short Answer

Step by step solution

Step 1. Given

Step 2. Find two consecutive odd integers

Step 3. Required answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Applied Mathematics

Theoretical and Mathematical Physics

Geometry

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

The product of two consecutive odd integers is $399$ .
Find the numbers.