Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Section 11.1 - Solving Quadratic Equations by Completing the Square - Practice: 4

Answer

$ x = (\frac{1+2i}{3}, \frac{1-2i}{3})$

Work Step by Step

$(3x-1)^2 = -4$ $3x-1 = ±\sqrt -4$ (Use Square root Property) $3x-1= ± 2i$ (Simplify the radical) $3x = 1 ± 2i$ (Add 1 to both sides) $x=\frac{1±2i}{3}$ (Divide by 3 on both sides) The solution set is $(\frac{1 + 2i}{3}, \frac{1-2i}{3})$ Note : Root of a negative number is a complex number and is represented by 'i'
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