Question

The Area of a square at right is 72 square units Find the value of X, Did I do this right?

Answer 1

Yes, your work is correct.

The diagram does illustrate x²+6x+9=72.  This is also represented by

(x+3)² = 72

We can take the square root of both sides:
$\sqrt{(x+3)^2}=\sqrt{72} \\ \\x+3=\pm 6 \sqrt2 \\ \\x+3-3=\pm 6 \sqrt{2} -3 \\ \\x=-3\pm 6\sqrt{2}$

When we evaluate this, the answers are x = -11.5 or x = 5.5.