Question

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

Answer 1

Imaginary root

Explanation:

-1^2-4(2*3)

1-4*6

1-24

-23

-23 has no square root or it will be a decimal.

Answer 2

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

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)