Question

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

$1.5n^2+7=20$

Short answer

$n=2.94$

Step-by-step solution

Step 1. Given Information.

The given equation is$1.5n^2+7=20$ .

Step 2. Calculation.

The solution of the given equation will be

$\begin{array}{c}1.5n^2+7=20\\ 1.5n^2=20-7\\ 1.5n^2=13\\ n^2=\frac{13}{1.5}\end{array}$

Simplify it further.

$\begin{array}{c}n=\sqrt{8.667}\\ =2.943\\ n\approx 2.94\end{array}$

Step 3. Conclusion.

The solution of the given equation is$n=2.94$ .