I am having a bit of trouble solving the following system of equations. I know what numbers solve the system, but I can only do so using a computer, such as WolframAlpha. The equations , for those interested, are the four partial derivatives for a Lagrange Multiplier. The four equations are as follows: 2/(a-1)^2+9b+9c-d=0 2/(b-1)^2+9a+9c-d=0 2/(c-1)^2+9a+9b-d=0 1-a-b-c=0 It should be noted that a, b, and c are all positive numbers, and, therefore, must all be less than one. The solution is a=b=c=1/3, d=21/2, I just don't know how to get that. I greatly appreciate any help you can give to me for this problem. Thank you for your time. P.S. I hope this is the right section for this type of question, but I am very new here, so please forgive me if I was wrong.