Question 581610
{{{ x^2 + 6x + 7 }}}
 {{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
{{{ a = 1 }}}
{{{ b = 6 }}}
{{{ c = 7 }}}
{{{ x = (-6 +- sqrt( 6^2-4*1*7 ))/(2*1) }}}
{{{ x = (-6 +- sqrt( 36 - 28 )) / 2 }}}
{{{ x = (-6 +- sqrt( 8 )) / 2 }}}
{{{ x = (-6 +- 2*sqrt( 2 )) / 2 }}}
{{{ x = -3 + sqrt(2) }}}
and
{{{ x = -3 - sqrt(2) }}}
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I'll check one solution, and you can
check the other
{{{ ( -3 + sqrt(2))^2 + 6*( -3 + sqrt(2)) + 7 = 0 }}}
{{{ 9 - 6*sqrt(2) + 2 - 18 + 6*sqrt(2) + 7 = 0 }}}
{{{ 9 + 2  - 18 + 7 = 0 }}}
{{{ 18 - 18 = 0 }}}
{{{ 0 = 0 }}}
OK