Chapter 12.6, Problem 44STP

To determine

To find the value of $d^2-8$ .

Answer to Problem 44STP

(F) $d^2-8=5$

Explanation of Solution

Given:

  $d^2+8=21$

Calculation:

Given $d^2+8=21,$

  $\Rightarrow d^2+8=21$

  $\Rightarrow d^2+8-8=21-8$

[Subtracting $8$ on both sides]

  $\Rightarrow d^2=13$

Now, $d^2-8$

  $\begin{array}{l}\Rightarrow d^2-8=13-8\\ \Rightarrow d^2-8=5\end{array}$

Conclusion:

Therefore, after simplification, $d^2-8=5$ .

Therefore, option (F) is correct.