Question 946507

{{{-5x^2=-5x+9}}}
{{{0=5x^2-5x+9}}}
or
{{{5x^2-5x+9=0}}}->solve by using the quadratic formula

{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} since in your case {{{a=5}}}, {{{b=-5}}}, and {{{c=9}}} we will have

{{{x = (-(-5) +- sqrt( (-5)^2-4*5*9 ))/(2*5) }}}

{{{x = (5 +- sqrt( 25-180 ))/10 }}}


{{{x = (5 +- sqrt( -155 ))/10 }}} 

{{{x = (5 +- sqrt(155 )*i)/10 }}}

solutions: we have complex solution


{{{x = (5 + sqrt(155 )*i)/10 }}}

or

{{{x = (5 - sqrt(155 )*i)/10 }}}