Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 9 - Section 9.1 - Solving Quadratic Equations by the Square Root Property - Exercise Set: 65

Answer

$d=\frac{\sqrt{kI}}{I}$

Work Step by Step

To solve for d, isolate d on one side of the equation. $I=\frac{k}{d^2}$ Multiply both sides by $d^2$. $I\times d^2=\frac{k}{d^2}\times d^2$ Simplify. $I\times d^2=k$ Divide both sides by I. $\frac{Id^2}{I}=\frac{k}{I}$ Simplify. $d^2=\frac{k}{I}$ Take the square root of each side. $\sqrt{d^2}=\sqrt{\frac{k}{I}}$ Simplify. $d=\sqrt{\frac{k}{I}}$ Rationalize the denominator. $d=\sqrt{\frac{k}{I}}=\frac{\sqrt k}{\sqrt I}=\frac{\sqrt k\times \sqrt I}{\sqrt I\times\sqrt I}=\frac{\sqrt{kI}}{I}$
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