Question

Solve the following equation by factoring. Write your answer in reduced fraction form, if necessary.z2 + 112 + 28 = 0AnswerHow toter your answer (opens in new window)KeypaKeyboard Shortcz =,Z =

Answer 1

Given:

$Z^2+112+28=0$

Find value of Z.

Sol:.

$\begin{gathered} Z^2+112+28=0 \\ Z^2+140=0 \\ Z^2=-140 \\ Z=\pm\sqrt[]{-140} \end{gathered}$

So the value of Z is:

$\begin{gathered} Z=\pm11.83i \\ Z=11.83i\text{ and } \\ Z=-11.83i \end{gathered}$