Solve for x: x² = (20-x)*10/2

First, let’s simplify the right side of the equation:

Now, let’s expand the right side:

Let’s rearrange the equation to standard form:

This is a quadratic equation. We can solve it using the quadratic formula:

Where , , and

Let’s substitute these values into the quadratic formula:

Simplify under the square root:

Simplify :

So our solution is:

We can simplify this further: