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:

`√((x+3)^2)=√(72) \\ \\x+3=\pm 6 \sqrt2 \\ \\x+3-3=\pm 6 √(2) -3 \\ \\x=-3\pm 6√(2)`

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