Question 467257
{{{-3xˆ2 - 6x + 2}}}.......use quadratic formula to solve for {{{x}}}


{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}..note that {{{a=-3}}}, {{{b=-6}}} and {{{c=2}}}


{{{x = (-(-6) +- sqrt( (-6)^2-4*(-3)*2 ))/(2*(-3)) }}}


{{{x = (6 +- sqrt( 36+24 ))/-6 }}}

{{{x = (6 +- sqrt(60 ))/-6 }}}

{{{x = (6 +- 7.75)/-6 }}}

solutions:

{{{x = (6 + 7.75)/-6 }}}

{{{x = (13.75)/-6 }}}

{{{x = -2.29 }}}

or

{{{x = (6 -7.75)/-6 }}}

{{{x = (-1.75)/-6 }}}

{{{x = 0.029 }}}


*[invoke Plot_a_graph_of_functions " -3x^2- 6x + 2", -10, 10, -10, 10]