Question 58397
{{{x^2 + 10x + 8}}}
complete the square
{{{x^2 + 10x + (10/2)^2 = -8 + (10/2)^2}}}
{{{x^2 + 10x + 25 = -8 + 25}}}
{{{(x + 5)^2 = 17}}}
{{{x + 5 = 0 +- sqrt(17)}}}
{{{x = -5 +-sqrt(17)}}}
the factors are
{{{x + 5 + sqrt(17)}}} and {{{x + 5 - sqrt(17)}}}
check
{{{(x + 5 + sqrt(17))*(x + 5 - sqrt(17)) = 0)}}}
{{{x^2 + (5 + sqrt(17))*x + (5 - sqrt(17))*x + 25 - 17  = 0}}}
{{{x^2 + 10x + 8 = 0}}} 
OK