If P^0.223 =1 + P^0.123. Solve for P. Note:only a genius can solve this. Best of luck

Answer 1

No genius required. Just use your favorite numerical method to find the root:

x^.223 - x^.123 - 1 = 0
x = 92.6740

Newton-Raphson is a likely one for this, since the curve is nice and smooth

Answer 2

Solve without newton-raphson method