This isn't really much of an algebra problem but different people are giving me different interpretations of " Square of One more than the Larger Part ". I've been given
" Separate 17 into two parts. So that the sum of their squares is equal to the "SQUARE OF ONE MORE THAN THE LARGER PART". Find the Smaller Part. "
I interpreted it myself; and I got
$x^2 + y^2 = (y^2 + 1)^2 = 17$
I don't think this works. I feel I have misinterpreted the problem. Other people have other interpretations too but they don't work either.
The correct answer is 5.