Solve for A: 2A^-1 + 1/2 = 1

The equation we’re given is:

We need to solve for . Let’s start by multiplying both sides of the equation by 2:

Now, let’s subtract 1 from both sides:

Next, we can divide both sides by 4:

Now, to get rid of the inverse, we can take the reciprocal of both sides:

Let’s verify this solution:

If , then

Plugging this back into the original equation: