Chapter 12.4, Problem 68S

To determine

To find: Evaluate each expression.

Answer to Problem 68S

  $x^2+z^2+5wy=61.5625$

Explanation of Solution

Given information:

  $\begin{array}{l}w=6\\ x=-4\\ y=1.5\\ z=\frac{3}{4}\end{array}$

  $x^2+z^2+5wy$

  $x^2+z^2+5wy$

On substituting values

We get

  $\begin{array}{l}{x}^2+z^2+5wy={\left(-4\right)}^2+{\left(\frac{3}{4}\right)}^2+5\left(6\right)\left(1.5\right)\\ \Rightarrow x^2+z^2+5wy=16+\frac{9}{16}+45\\ \Rightarrow x^2+z^2+5wy=61+\frac{9}{16}\\ \Rightarrow x^2+z^2+5wy=61+0.5625\\ \Rightarrow x^2+z^2+5wy=61.5625\end{array}$

Therefore,

  $x^2+z^2+5wy=61.5625$