Answer
Discriminant = -44; no real solution and 2 imaginary solutions
Work Step by Step
$4x^2-2x+3=0$
Plug the coefficients into the discriminant of the quadratic formula.
$a=4, b=-2, c=3$
$\sqrt {b^2-4ac}$
$\sqrt {(-2)^2-4(4)(3)}$
$\sqrt {4-48}$
$\sqrt {-44}$
Since the discriminant is less than $0$, the equation has no real solution and two imaginary solutions.
