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 - Exercise Set: 80

Answer

The simplified form of $\frac{10-20\sqrt 3}{2} $ is $5-10\sqrt 3$.

Work Step by Step

$\frac{10-20\sqrt 3}{2} $ Step 1: A common factor of 10 and 20 is 2. Hence, 10 and 20 can be divided by 2 and 2 can be taken outside the bracket: $\frac{2(5-10\sqrt 3)}{2} $. Step 2: 2 can be cancelled from both numerator and denominator and we will be left with $5-10\sqrt 3$.
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