Find an equation for the sphere whose diameter has endpoints $P(1,5,4)$ and $Q(0,4,5).$

$(x-1{)}^2+(y-5{)}^2+(z-4{)}^2=\frac{3}{4}$

$(x-\frac{1}{2}{)}^2+(y+\frac{9}{2}{)}^2+(z+\frac{9}{2}{)}^2=3$

$(x-1{)}^2+(y-5{)}^2+(z-4{)}^2=3$

$(x+\frac{1}{2}{)}^2+(y+\frac{9}{2}{)}^2+(z+\frac{9}{2}{)}^2=\frac{\sqrt[\phantom{2}]{3}}{2}$

$(x-\frac{1}{2}{)}^2+(y-\frac{9}{2}{)}^2+(z-\frac{9}{2}{)}^2=\frac{3}{4}$