Question 1210340
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Here is one of many ways to solve the problem.<br>
Since the two numbers add to 10, let them be (5+a) and (5-a).<br>
The product of the two numbers is -16:<br>
{{{(5+a)(5-a)=-16}}}
{{{25-a^2=-16}}}
{{{41=a^2}}}
{{{a=sqrt(41)}}} or {{{a=-sqrt(41)}}}<br>
ANSWERS: {{{5+sqrt(41)}}} and {{{5-sqrt(41)}}}<br>