Question 289987
{{{P=3i^2-2i+450 =0}}}
You can use the discriminant to find the number of real roots (when D>0).
{{{ D=b^2-4ac }}}
{{{a=3}}}
{{{b=-2}}}
{{{c=450}}}
{{{ D=(-2)^2-4(3)(450)=-5396}}}
Since D<0, there are no real roots, that is, no value of i which make P=0.