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Select the correct answer.
Determine which equation has the same solutions as the given equation.

x2 − 10x − 11 = 0

A.
(x − 5)2 = 21
B.
(x − 10)2 = 21
C.
(x − 10)2 = 36
D.
(x − 5)2 = 36

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Answer:

D. [tex]\displaystyle (x - 5)^2 = 36[/tex]

Step-by-step explanation:

All you are doing is converting this Quadratic Equation to a Vertex Equation in Vertex Form by completing the square:

[tex]\displaystyle [\frac{b}{2}]^2 \\ \\ x^2 - 10x - 11 = 0 → x^2 - 10x + 25 - 36 = 0→ (x - 5)^2 - 36 = 0 \\ \\ (x - 5)^2 = 36[/tex]

It is that simple, is it not?

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