Question

5 more than the square root of the difference of a number and 2 is 13. What is the number?

Answer 1

Answer:

Explanation:

Let the number = x

$\begin{gathered} \text{The difference of the number and 2}=x-2 \\ The\text{ square root }=\sqrt{x-2} \\ 5\text{ more than the square root}=\sqrt[]{x-2}+5 \end{gathered}$

The result is 13, therefore, we have the equation:

$\sqrt[]{x-2}+5=13$

We solve the equation for x:

Subtract 5 from both sides.

$\begin{gathered} \sqrt[]{x-2}+5-5=13-5 \\ \sqrt[]{x-2}=8 \end{gathered}$

Next, square both sides:

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