Question

Solve x2 − 4x − 1 = 0 by completing the square.

Answer 1

Hello! To solve completing by the square, we have to follow some steps:

`\begin{gathered} x^2-4x=1 \\ \end{gathered}`

Now, we have to add the same value in both sides (square):

If we factorize the first part of this expression, we can obtain:

Notice that we obtained the same expression, and now we know the value of the square. So, let's rewrite the first expression and replace the squares by 4: