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
