Question 1104856
<br>
Let the numbers be x and x-3.  Then the problem says<br>
{{{6x + (x-3)^2 = 57}}}
{{{6x + x^2-6x+9 = 57}}}
{{{x^2+9 = 57}}}
{{{x^2 = 48}}}
{{{x = sqrt(48) = 4*sqrt(3)}}}<br>
The numbers are {{{4*sqrt(3)}}} and {{{4*sqrt(3)-3}}}.<br>
CHECK:
{{{6x + (x-3)^2 = 6(4*sqrt(3)) + (4*sqrt(3)-3)^2 = 24*sqrt(3) + 48-24*sqrt(3)+9 = 48+9 = 57}}}