SOLUTION: the sum of the square of the two consecutive odd intergers is equal to 290 find the two intergers

Question 165493: the sum of the square of the two consecutive odd intergers is equal to 290 find the two intergers
Found 2 solutions by Fombitz, jojo14344:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let n be the first integer, (n+2) would be the next consecutive odd integer.

You can factor this quadratic equation.

.
.
.
First solution:

The two integers are then -13 and -11.
.
.
.
Second solution:

The two integers are then 11 and 13.

Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

Two consecutive ODD Integers ----
Condition:
, EQN 1
Continuing,

---> , divide whole eqn by 2

Remember ---
By PYTH.THEOREM:

---->
2 VALUES:

USE HIGHLIGHTED ONE:
-------------> 1st odd intgr.
------> 2nd odd intgr.
Check via EQN 1,

Thank you,
Jojo
RELATED QUESTIONS
The product of two consecutive odd intergers is 1 less than 4 times the sum. find the two (answered by Paul)
The product of two consecutive odd intergers is 1 less than four times their sum. Find... (answered by stanbon)
The differnece between the squares of two consecutive positive odd intergers is 24. Find... (answered by checkley71)
what is 3 times the smaller of two consecutive odd intergers is equal to twice the... (answered by drj,solver91311)
the sum of two consecutive intergers is 59. find the values of the two... (answered by user_dude2008)
the sum of the reciprocals of two consecutive intergers is 7/12 . find the two... (answered by edjones)
The sum of two consecutive intergers is 237. Find the two... (answered by rfer,drj)
the sum of two consecutive intergers is 69. find the two... (answered by funmath)
the sum of two consecutive odd intergers equals... (answered by Alan3354,fasthomework)