Question 564686
call the integers {{{ -n }}} and {{{ -n -1 }}}
given:
{{{ ( -n - 1 )^2 - ( -n )^2 = 9 }}}
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{{{ n^2 + 2n + 1 - n^2 = 9 }}}
{{{ 2n + 1 = 9 }}}
{{{ 2n = 8 }}}
{{{ n = 4 }}}
{{{ -n = -4 }}}
{{{ -n - 1 = -5 }}}
the numbers are {{{ -4 }}} and {{{ -5 }}}
check:
{{{ (-5)^2 - (-4)^2 = 25 - 16 }}}
{{{ 25 - 16 = 9 }}}