Choose the best description of the roots of the equation 3x 2 - 4x + 5 = 0. double root real and rational roots real and irrational roots imaginary roots

To see, we should use the quadratic formula:

(-b +/- sqrt (b - 4ac))/2a

We plug the values in:

(-(-4) +/- sqrt (-4 - 4 * 3 * 5))/(2 * 3)

(4 +/- sqrt (-64))/6

But, we can’t have a negative square root, so we use i for imaginary.

That means that we will have imaginary roots, so the answer is (D).

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i