Answer:
9
Step-by-step explanation:
The given equation is:
[tex]x^{2}[/tex] - 6[tex]x[/tex] = 5
To complete the square you have to add one number to both sides of the equation.
First, divide the coefficient of the term x by 2 and square the result. This number should then be added to both sides of the equation.
For the equation [tex]x^{2}[/tex] - 6[tex]x[/tex] = 5 the coefficient of the term x is -6.
(6 ÷ 2)² = 9
So you'll add 9 to both sides of the equation.
[tex]x^{2}[/tex] - 6[tex]x[/tex] (+ 9) = 5 (+ 9)
↓
[tex]x^{2}[/tex] - 6[tex]x[/tex] + 9 = 14
This can also be written as:
([tex]x[/tex] - 3)² = 14
