Answer: To complete the square, we need to add and subtract the square of half the coefficient of x:
x^2 - 4x = 2
x^2 - 4x + 4 = 2 + 4 (adding and subtracting 4)
(x - 2)^2 = 6
Now we take the square root of both sides:
x - 2 = ±√6
Adding 2 to both sides gives:
x = 2 ± √6
So the solutions are:
x = 2 + √6, 2 - √6
Explanation: