Answer
Both roots are rational.
Work Step by Step
Since
$$a= 2, \quad b=7, \quad c=-4,$$
We check the value of the discriminant, as follows
$$b^2 -4ac=49-4(2)(-4) = 81$$
Since 81 is positive and perfect square, both roots are rational.
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: 32
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