Group Project 2, Problem 16

%matplotlib inline
import matplotlib.pyplot as plt
from sympy import *
init_printing()

x = Symbol("x")
y = Symbol("y")
z = Symbol("z")
L = Symbol("L")

A=solve([L*2*x-2, L*2*y-6,L*2*z-10,x**2 +y**2 +z**2 -25], [x,y,z,L])

A[1][0],A[1][1],A[1][2],A[1][3]

(1)**2 +(3)**2 +(5)**2

(-1)**2 +(-3)**2 +(-5)**2

2*(1)+6*(3)+10*(5)#min

2*(-1)+6*(-3)+10*(-5)#max