Question

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

$3x^2+5=30$

Short answer

The solution is$x=2.89$.

Step-by-step solution

Step 1. Given Information.

The given equation is$3x^2+5=30$.

Step 2. Calculation.

The given equation can be simplified as,

$\begin{array}{c}3x^2+5=30\\ 3x^2=30-5\\ 3x^2=25\\ x=\sqrt{\frac{25}{3}}\end{array}$

On further simplification,

$\begin{array}{c}x=2.886\\ x\approx 2.89\end{array}$

Step 3. Conclusion.

The solution for the given equation is $x=2.89$.