Q68. - Algebra 1

Question

CHALLENGE Find all of the solutions of $x^2+5=30$.

Step-by-Step Solution

Answer

The solutions are $x=5\text{ and }x=-5$

Step 1. Understand what is given.

Given: $x^2+5=30$

Step 2. Make a strategy.

Our goal is to get x alone. We will subtract 5. Then we square root both sides.

Step 3. Calculation.

$\begin{array}{l}{x}^2+5=30\\ \Rightarrow x^2=30-5\\ \Rightarrow x^2=25\\ \Rightarrow x=\sqrt{25}\\ \Rightarrow x=\pm 5\end{array}$