Completing the Square by Boxed Rockets

Write the following in the form ${(x + a)}^{2} + b$

x^{2} - 11 x - 9

{(x - \frac{11}{2})}^{2} - \frac{157}{4}

x^{2} + x + 10

{(x + \frac{1}{2})}^{2} + \frac{39}{4}

x^{2} - x + 3

{(x - \frac{1}{2})}^{2} + \frac{11}{4}

x^{2} - 15 x + 4

{(x - \frac{15}{2})}^{2} - \frac{209}{4}

x^{2} - 9 x - 5

{(x - \frac{9}{2})}^{2} - \frac{101}{4}

x^{2} - 11 x + 6

{(x - \frac{11}{2})}^{2} - \frac{97}{4}