Question 114338
{{{x^2 + 8x + 13 = 0}}}
uae the quadratic formula
a = 1
b = 8
c = 13
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
{{{x = (-8 +- sqrt( 8^2-4*1*13 ))/(2*1) }}}
{{{x = (-8 +- sqrt(64 - 52)) / 2 }}}
{{{x = (-8 +- sqrt(12)) / 2}}}
{{{x = (-8 +- 2*sqrt(3)) / 2}}}
{{{x = -4 + sqrt(3)}}} 1st answer
{{{x = -4 - sqrt(3)}}} 2nd answer
Substitute one of these into original equation to verify