Use the discriminant to describe the roots of each equation. Then select the best description. 2m^2+3=m

Mathematics · High School · Tue Nov 03 2020

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Here, we have

2m^2+3=m 

or, 2m^2 - m +3 = 0

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

discriminant of an equation is given by :

D = b^2 - 4ac

= (-1)^2 - 4(2)(3)

= 1 -24

= -23

So, D < 0

Hence, there are no real roots of the given equation.