# Math

find three consecutive positive odd integers such that the sum of the squares of the first and second integers is equal to the square of the third integer minus 7?

1. 👍
2. 👎
3. 👁
1. Let the numbers be x,x+2 and x+4.

x^2 + (x+2)^2 = (x+4)^2 - 7
x = 5

check:

25+49 = 81-7
yes

1. 👍
2. 👎

## Similar Questions

1. ### Math

2. The sum of the reciprocals of two consecutive positive integers is 17/72. Write an equation that can be used to find the two integers. What are the integers? Steve helped me yesterday and gave me the hint 8+9=17. Then I thought

find 3 consecutive integers such that the product of the second and third integer is 20 Take three integers x, y, and z. The for xyz, we want y*z = 20 The factors of 20 are 20*1 10*2 5*4. 20*1 are not consecutive. 10*2 are not

3. ### Algebra

The sum of the squares of two consecutive positive even integers is one hundred sixty-four. Find the two integers.

4. ### Algebra

There are three consecutive integers the square of the largest one equals the sum of the squares of the two other.Find the integers

1. ### math

The sum of two squares of TWO consecutive even integers is 340. Find the integers.

2. ### algebra

write a polynomial that represents the sum off an odd integers 2n+1 and the next two consecutive odd integers

3. ### smallest of 3 integers

The sum of the reciprocals of three consecutive positive integers is equal to 47 divided by the product of the integers. What is the smallest of the three integers?

4. ### Algebra II

The sum of the reciprocals of two consecutive positive integers is 17/12. Write an equation that can be used to find the two integers. What are the integers?

1. ### Mathematics

Find two consecutive odd positive integers , whose product is 35

2. ### math

Find two consecutive odd integers such that their product is 39 more than 9 times their sum?

3. ### math

The sum of four consecutive odd integers is 448. Find the three integers.

4. ### Math

Find three consecutive odd integers such that four times the middle integer is two more than the sum of the first and third.