SOLUTION: MATH QUESTION~
The sum of the squares of four consecutive positive odd numbers is 596. What are the numbers?
Please help me!
Thank you!
Algebra.Com
Question 759508: MATH QUESTION~
The sum of the squares of four consecutive positive odd numbers is 596. What are the numbers?
Please help me!
Thank you!
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
consecutive odd numbers: x, (x+2), (x+4), (x+6)
x^2 + (x+2)^2 + (x+4)^2 + (x+6)^2 = 596
x^2 + x^2 + 4x + 4 + x^2 + 8x + 16 + x^2 + 12x + 36 = 596
4x^2 + 24x + 56 = 596
x^2 + 6x + 14 = 149
x^2 + 6x - 135 = 0
(x + 15)(x - 9) = 0
x = -15, x = 9
x has to be positive, so the numbers are 9, 11, 13, and 15.
RELATED QUESTIONS
The sum of the squares of three consecutive integers integers is 596. What are the... (answered by Alan3354)
the sum of three even consecutive integers is 596. what are the... (answered by stanbon,Smokeyv7)
The sum of three even consecutive integers is 596. what are the... (answered by Alan3354)
The sum of three even consecutive integers is 596. what are the... (answered by Alan3354)
The sum of the squares of two consecutive positive odd numbers is 650 . Find the... (answered by Alan3354)
The sum of the squares of 2 positive consecutive odd numbers is 130. Find the... (answered by macston)
The sum of squares of three consecutive odd numbers is 155. What are the... (answered by stanbon)
The sum of the squares of two consecutive odd positive integers is 202. Find the... (answered by robertb)
The sum of the squares of two consecutive positive odd integers is 202. Find the... (answered by tinbar,Alan3354)