SOLUTION: Find three consecutive odd whole numbers such that the sum of the squares of the two smaller numners is 9 more than the square of the largest.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Find three consecutive odd whole numbers such that the sum of the squares of the two smaller numners is 9 more than the square of the largest.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 477301: Find three consecutive odd whole numbers such that the sum of the squares of the two smaller numners is 9 more than the square of the largest.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2+%2B+%28x%2B2%29%5E2+=+%28x%2B4%29%5E2+%2B+9
==> x%5E2+%2B+x%5E2+%2B+4x+%2B+4+=+x%5E2+%2B+8x+%2B+16+%2B+9
==> x%5E2+-+4x+-+21+=+0
<==> (x - 7 )(x + 3 ) = 0 ==> x = 7, -3.
Eliminate -3 because it is not non-negative.
==> the numbers are 7,9, 11.