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Q65.

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Pre-algebra

Found in: Page 480

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Solve the equation. Round to the nearest hundredth if necessary.
$2 a^{2} + 1 = 98$

$a = 6.96$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

The given equation is $2 a^{2} + 1 = 98$ .

Step 2. Calculation.

The solution of the given equation will be

$\begin{matrix} 2 a^{2} + 1 = 98 \\ 2 a^{2} = 98 - 1 \\ 2 a^{2} = 97 \\ a = \sqrt{\frac{97}{2}} \end{matrix}$

Simplify it further.

$\begin{matrix} a = 6.9641 \\ a \approx 6.96 \end{matrix}$

Step 3. Conclusion.

The solution of the given equation is $a = 6.96$ .

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