Question

What number should be added to both sides of the equation to complete the square? x2 - 6x = 5

Answer 1

Answer:

9

Step-by-step explanation:

The given equation is:

$x^{2}$ - 6$x$ = 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 $x^{2}$ - 6$x$ = 5 the coefficient of the term x is -6.

(6 ÷ 2)² = 9
So you'll add 9 to both sides of the equation.

  $x^{2}$ - 6$x$ (+ 9) = 5 (+ 9)
                 ↓
      $x^{2}$ - 6$x$ + 9 = 14

This can also be written as:
         ($x$ - 3)² = 14