algebra

posted by .

Find two consecutive positive integers such that the sum of their squares is 85.

n^2+(n+1)^2+2n = 85
n^2+n^2+2n+1=85
2n^2+2n=84
n^2+n=42
n^2+n-42=0
(n-6)(n+7)=0
n=6
n=-7

Is my work and answer correct?


-7 is not a positive integer. Your first equation is wrong, because the 2n term should not be there. Your second equation is correct, and after that you correectly solve for n. Since they ask for postive integer solutions only, the only number that fits, for n, is 6. The second integer will by definition be n+1, which is 7.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math, algebra

    2a+2ab+2b I need a lot of help in this one. it says find two consecutive positive integers such that the sum of their square is 85. how would i do this one i have no clue i know what are positive integers.but i don't know how to figure …
  2. math

    there are three consecutive positive integers such that the sum of the squares of the smallest two is 221. write and equation to find the three consecutive positive integers let x= the smallest integer
  3. math

    The sum of the squares of two positive consecutive is 41. Find the integers.
  4. Algebra

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

    The difference of the cubes of two consecutive odd positive integers is 400 more than the sum of their squares. Find the sum of the two integers.
  6. algebra!

    The difference of the cubes of two consecutive odd positive integers is 400 more than the sum of their squares. Find the sum of the two integers.
  7. Algebra

    The difference of the cubes of two consecutive odd positive integers is 400 more than the sum of their squares. Find the sum of the two integers.
  8. Algebra

    The difference of the cubes of two consecutive odd positive integers is 400 more than the sum of their squares. Find the sum of the two integers.
  9. math

    The difference of the cubes of two consecutive odd positive integers is 400 more than the sum of their squares. Find the sum of the two integers.
  10. 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?

More Similar Questions