Sphere equation

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

Correct answer:

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

Step-by-step explanation:

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

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