Question

Find the value of the discriminant for the quadratic equation. Then describe the number and type of roots for the equation. Use the words rational, irrational, or complex to describe the roots.

2⁢𝑥^2−3⁢𝑥=−2



discriminant:

number of roots:

type of root(s):

Answer 1

First put in standard form: 2x^2 − 3x + 2 = 0, so a = 2, b = −3, c = 2.

Discriminant: D = b^2 − 4ac = (−3)^2 − 4(2)(2) = 9 − 16 = −7.

Number of roots: 2 (distinct)

Type of root(s): complex (two nonreal complex conjugates)