1/z=2/z-1/11 the answer is z=11

is this correct.

yes.

Thanks

To determine if the given solution is correct, let's solve the equation step by step. The given equation is:

1/z = 2/z - 1/11

To solve this equation, we'll start by finding a common denominator for the right side of the equation, which is z * 11:

1/z = (2*z - 1)/(z * 11)

Next, we'll cross multiply:

11 * 1 = z * (2*z - 1)

11 = 2z^2 - z (expanded)

Rearranging the equation, we get:

2z^2 - z - 11 = 0

Now we have a quadratic equation. To solve it, we'll factorize or use the quadratic formula.

Factoring this equation will not give us integer solutions, so we'll use the quadratic formula:

z = (-b ± √(b^2 - 4ac)) / 2a

For our equation, a = 2, b = -1, and c = -11. Plugging these values into the formula:

z = (-(-1) ± √((-1)^2 - 4 * 2 * -11)) / (2 * 2)

Simplifying further:

z = (1 ± √(1 + 88)) / 4

z = (1 ± √89) / 4

These are the two possible solutions for z. However, neither of them equals 11. Therefore, the given answer of z = 11 is incorrect based on the equation provided.