# 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:

${x}_{0}=70\mathrm{/}47=\frac{70}{47}=1.4894$
${y}_{0}=56\mathrm{/}47=\frac{56}{47}=1.1915$
$z_{0}=-105/47=- \dfrac{ 105 }{ 47 }=-2.234$

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