SOLUTION: FIND TWO CONSECUTIVE WHOLE NUMBERS SUCH THAT THE SUM OF THEIR SQUARES IS 145.

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Question 5743: FIND TWO CONSECUTIVE WHOLE NUMBERS SUCH THAT THE SUM OF THEIR SQUARES IS 145.
Found 2 solutions by Abbey, longjonsilver:
Answer by Abbey(339) About Me  (Show Source):
You can put this solution on YOUR website!
let x = first whole number
let x+1 = second whole number (because they are consecutive, one number is 1 unit greater than the other)
x%5E2%2B%28x%2B1%29%5E2=145
x%5E2%2Bx%5E2%2B2x%2B1-145=0
2x%5E2%2B2x-144=0
x%5E2+%2B+x+-72=0
%28x%2B9%29%28x-8%29
x=-9 or x=8
we can rule out -9, because it is not a whole number
so our first number is 8 and the second number is 9
verify:
8%5E2%2B9%5E2=145
64%2B81=145 true statement so 8 and 9 are the numbers.

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
sorry, i just have to quibble with Abbey on this...
-9 is a whole number...-9 and -8 is also a fair answer, as when they are squared, they too add to 145.

Jon.