Question

Solve the equation. Round to the nearest hundredth if necessary.

$1400=10z^2+2$

Short answer

The solution is$z=11.82$ .

Step-by-step solution

Step 1. Given Information.

The given equation is$1400=10z^2+2$ .

Step 2. Calculation.

The given equation can be simplified as,

$\begin{array}{c}1400=10z^2+2\\ 1400-2=10z^2\\ 1398=10z^2\\ z=\sqrt{139.8}\end{array}$

On further simplification,

$\begin{array}{c}z=11.823\\ z\approx 11.82\end{array}$

Step 3. Conclusion.

The solution for the given equation is$z=11.82$ .