Question 1210275
{{{cross(Number)}}} Numbers that {{{cross(multiplies)}}} multiply to -44 but {{{cross(adds)}}} add to -1.<br>
Trial and error, or any other method, shows that there are not any two rational numbers that satisfy the conditions.  So...<br>
{{{a+b=-1}}} --> {{{b=-a-1}}}<br>
{{{ab=-44}}}
{{{a(-a-1)=-44}}}
{{{a(a+1)=44}}}
{{{a^2+a=44}}}
{{{a^2+a-44=0}}}<br>
Solve using the quadratic formula.<br>
{{{a=(-1+-sqrt(1+4*44))/2}}}<br>
ANSWER: the two numbers are {{{(-1+sqrt(177))/2}}} and {{{(-1-sqrt(177))/2}}}<br>