Question 47423
First Positive Integer: i
Second Positive Integer: i + 1
{{{(i)^2 + (i + 1)^2 = 85}}}
{{{i^2 + i^2 + 2i + 1 = 85}}}
{{{2i^2 + 2i - 84 = 0}}}
{{{i^2 + i - 42 = 0}}}
{{{(i + 7)(i - 6) = 0}}}
i + 7 = 0
i = -7 NO
or
i - 6 = 0
i = 6 YES
Answer: 6 and 7