Use the discriminant to describe the roots of each equation. Then select the best description. 2m2 + 3 = m double root real and rational roots real and irrational roots non-real roots

The roots of the equation 2m²+3=m are non-real roots.

Step-by-step explanation:

Given equation:

2m²+3=m

2m²-m+3=0

Here, from the equation we can obtain the following values:

a = 2, b = - 1, c = 3

Discriminant of an equation is given as:

D = b²-4ac

= (-1) ²-4 (2) (3)

= 1 - 21

= - 20

Discriminant can tell what kinds of roots the equation have.

In our case, the discriminant is less than 0.

When D < 0, the roots of the equation are complex conjugates. (non-real)