Answer
Two real irrational solutions.
Work Step by Step
The standard form of the quadratic equation
$\Rightarrow a^2+bx+c=0$
By comparing the given equation and the standard equation we identify
$a=3,b=4$ and $c=-2$
The discriminant in the standard form is $b^2-4ac$.
Plug all values.
$=(4)^2-4(3)(-2)$
Simplify.
$=16+24$
$=40$.
The discriminant is a positive non perfect square number.
Hence, the solutions are two real irrational numbers.
