Chapter 4.7, Problem 40IP

To determine

To find the numbers and round to the nearest tenth,if necessary.

Answer to Problem 40IP

The numbers are, $\text{ b}=11.3\text{ and b}=-11.3$

Explanation of Solution

Given information: The equation is, $190.5=1.5{\text{b}}^2$

Concept used: Square root,

A square root of a number is one of its two equal factors.

Calculation : The numbers from the equation is obtained as,

  $\begin{array}{l}190.5=1.5{\text{b}}^2\left(\text{Write the equation}\right)\\ \text{1}{\text{.5b}}^2=190.5\\ {\text{ b}}^2=127\\ \text{ b}=\pm \sqrt{127}\left(\text{Defination of square root}\right)\\ \text{ b}=11.3\text{ and b}=-11.3\end{array}$

Hence, the numbers are, $\text{ b}=11.3\text{ and b}=-11.3$