Sphere equation

Obtain the equation of sphere its centre on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1).

Correct result:

r =  3.9398
x0 =  1.4894
y0 =  1.1915
z0 =  -2.234

Solution:

3x+2z=0 4x5y=0 r2=(x0)2+(y+2)2+(z+4)2 r2=(x2)2+(y+1)2+(z1)2  (xx0)2+(yy0)2+(zz0)2=r2  r>0  r=34289/47=3.9398
x0=70/47=7047=1.4894
y0=56/47=5647=1.1915
z0=105/47=10547=2.234z_{0}=-105/47=- \dfrac{ 105 }{ 47 }=-2.234



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