Is it possible for the solution set of a quadratic equation

Solution

it is possible for a solution set of quadratic equation to have one real and one complex number

because when we solve a quadratic equation we have the formula { -b + - sqrt (b^2-4ac )} / 2a

if the value inside square root is negative the quadratic equation will have two complex solutions one + and one -

if the value inside square root sign is positive it will have two real solutions

and if the value inside square root is 0 it will have one real solution

hence, we cannot hane one real and one complex

also , since a quadratic equation has atmot two solutions . complex solutions always comes in pair .we cannot have have just one complex solution