Question 1008644
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S=smaller integer=L-1; L=larger integer=S+1
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{{{S^2+17=4L}}}
{{{S^2+17=4(S+1)}}}
{{{S^2+17=4S+4}}}
{{{S^2-4S+13=0}}}
*[invoke quadratic "S", 1, -4, 13 ]
{{{L^2+17=4S}}}
{{{L^2+17=4(L-1)
{{{L^2+17=4L-4}}}
{{{L^2-4L+21=0}}}
*[invoke quadratic "L", 1, -4, 21 ]
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ANSWER: There are no real number solutions,
regardless if you consider the larger or smaller
number as first.