Answer
Both roots are irrational.
Work Step by Step
Since
$$a= -2, \quad b=3, \quad c=1,$$
We check the value of the discriminant, as follows
$$b^2 -4ac=9-4(-2)(1) =17$$
Since 17 is positive and not perfect square, both roots are irrational.
Elementary Technical Mathematics
by Nelson, Robert; Eren, Dale;
Published by
Brooks Cole
ISBN 10:
1285199197
ISBN 13:
978-1-28519-919-1
Chapter 11 - Section 11.5 - Imaginary Numbers - Exercise - Page 378: 29
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