Question

Complete the square. leave your anwser in the form (_)^2=_. x^2-6x=5​

Answer 1

Answer:

(x − 3)² = 14

Step-by-step explanation:

To complete the square:

1) If the leading coefficient (coefficient of x²) is not 1, divide both sides by the leading coefficient.

2) Take the x coefficient, divide it by 2, square the result, and add to both sides.

3) Factor the perfect square.

x² − 6x = 5

Here, the leading coefficient is already 1.

The square of half of -6 is: (-6/2)² = (-3)² = 9.  Add 9 to both sides.

x² − 6x + 9 = 5 + 9

x² − 6x + 9 = 14

Factor.

(x − 3)² = 14