Chapter 9.1, Problem 4CCYP

To determine

To Evaluate: The given expression if $a=5,b=-2$ and $c=\frac{3}{4}$

  $2-c^2$

Answer to Problem 4CCYP

The required answer is $\frac{23}{16}$ .

Explanation of Solution

Given information:

  $a=5,b=-2$ and $c=\frac{3}{4}$

Calculation:

  $\begin{array}{l}2-c^2\\ =2-{\left(\frac{3}{4}\right)}^2\end{array}$

(Substituting the value ofc )

  $=2-\frac{9}{16}$

(Simplify)

  $\begin{array}{l}=\frac{32-9}{16}\\ =\frac{23}{16}\end{array}$