Chapter 12.5, Problem 1MRE

To determine

To Evaluate: The given expression $\pm \sqrt{y^2-4xz}$ if $x=1,y=8,\text{and }z=-9$

Answer to Problem 1MRE

The required solution is $\pm 10$ .

Explanation of Solution

Given information:

  $\pm \sqrt{y^2-4xz}$

  $x=1,y=8,\text{and }z=-9$

Calculation:

  $\pm \sqrt{y^2-4xz}$

Substituting the known value

  $\begin{array}{l}=\pm \sqrt{8^2-4\cdot 1\cdot \left(-9\right)}\\ =\pm \sqrt{64-\left(-36\right)}\\ =\pm \sqrt{64+36}\\ =\pm \sqrt{100}\\ =\pm 10\end{array}$