Respuesta :

MrsStrong

Answer:

9

Step-by-step explanation:

To complete the square, divide the coefficient of the b term 6x in two. This becomes -6/2=-3. Now square the number -3 and it becomes 9. To complete the square add 9 to both sides.

Cxlver

Answer:

9

Step-by-step explanation:

[tex]x^2-6x = 5\\[/tex]

We know the binomial formula: [tex](a-b)^2 = a^2 -2ab + b^2[/tex]

Let's consider 6x = 2ab, we know a is our first term - x;

6x = 2axb

6 = 2b

b = 3

So to make a perfect square, we need to add [tex]b^2[/tex] to both sides

[tex]x^2 - 6x + 3^2 = 5 + 3^2\\x^2 - 6x + 9 = 5 + 9\\(x-3)^2 = 14[/tex]

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