Question 694354


{{{3x^2 - 9x + 1 = 0}}}...use quadratic formula


 {{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} ..you have {{{a=3}}},{{{b=-9}}}, and {{{c=1}}}


{{{x = (-(-9) +- sqrt( (-9)^2-4*3*1 ))/(2*3) }}}


{{{x = (9 +- sqrt(81-12))/6 }}}


{{{x = (9 +- sqrt(69))/6 }}}


{{{x = (9 +- 8.3066238629180748525842627449075)/6 }}}


{{{x = (9 +- 8.31)/6 }}}


solutions:


{{{x = (9 + 8.31)/6 }}}

{{{x = 17.31/6 }}}

{{{x = 2.885 }}}

or

{{{x = (9 - 8.31)/6 }}}

{{{x = 0.69/6 }}}

{{{x = 0.115 }}}