Math

posted by .

Two consecutive integers are squared. The sum of these squares of these squares is 545. What are the integers?

  • Math -

    Fast way:
    Half of 545 = 272 must fall between two perfect sequres, namely 256 and 289, which means that the integers are 16 and 17.

    Standard way:
    Let x be one of the integers, then x+1 is the other. So that:
    x^2+(x+1)^2=545
    2x^2+2x-544=0
    x^2+x-272=0
    (x+17)(x-16)=0
    So x=16 or x=-17.
    The consecutive integers are therefore:
    16, 17, or
    -17, -16

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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
  2. college math

    I do not understand a problem from a text book or how to solve the problem for the answer. Could shomeone show me the steps (show work) on how to solve this question. The sum of the intergers from 1 through n is n(n+1)/2. the sum of …
  3. math

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

    The sum of the squares of two consecutive odd integers decreased by the product of the integers is the same as sixty-seven.
  5. MATH PLEASE HELP

    the sum of the squares pf two postive consecutive even integers is 41. Find the 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. 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.
  10. 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.

More Similar Questions