Question 191862
Note that this equation has no real solution.

It can be solved by using the quadratic formula:

{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
First write it in standard form
{{{2x^2-x+9=0}}}
Next substitute a = 2, b = -1 and c = 9 into the formula.
{{{x = (-(-1) +- sqrt( (-1)^2-4*2*9 ))/(2*2) }}}
{{{x = (1 +- sqrt( 1-72 ))/4 }}}
{{{x = (1 +- sqrt(-71))/4 }}}
{{{x = (1 +- sqrt(71)i)/4 }}}