Question 305374
{{{N}}} - first integer (smaller)
{{{N+1}}} - next consecutive integer (larger)
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{{{N^2+2(N+1)=50}}}
{{{N^2+2N+2=50}}}
{{{N^2+2N-48=0}}}
{{{(N+8)(N-6)=0}}}
Two solutions:
{{{N+8=0}}}
{{{N=-8}}}
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{{{N-6=0}}}
{{{N=6}}}
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The two integers are either (-8,-7) or (6,7).