(Solved): please solve the following question to see if i am right or wrong.thank you! Find an equation of the ...

Find an equation of the sphere with points \( P \) such that the distance from \( P \) to \( A(-2,4,3) \) is twice the distance from \( P \) to \( B(6,2,-1) \). \[ \left(3 x+\frac{14}{3}\right)^{2}+\left(3 y-\frac{14}{3}\right)^{2}+\left(3 z-\frac{11}{3}\right)^{2}=\left(\frac{-796}{9}\right)^{2} \] Find its center and radius. \[ \text { center }(x, y, z)=\left(-\frac{14}{3}, \frac{14}{3}, \frac{11}{3}\right) \] radius \( -\frac{\sqrt{796}}{3} \)