Solve x2 − 8x + 5 = 0 using the completing-the-square method.
x = negative four plus or minus the square root of eleven
x = four plus or minus the square root of eleven
x = negative four plus or minus the square root of five
x = four plus or minus the square root of five

Option 2

Step-by-step explanation:

We have been given a quadratic equation

First step in completing method square is to make the coefiicient of    1

Since, in given quadratic equation coefficient of is already 1. we will proceed to the next step which is add and subtract square of the half of coefficient of x in given quadratic equation.

Here, half of coefficient of x that is  8 would be 4 so we will add and subtract in given quadratic equation we will get

Now, we will proceed to the third step that is making the whole square formula according to the terms

Here, we can see that we are geeting the formula of from

The equation will become

After simplifying we will get  

After further simplification we will get

After more simplification we will get

Hence, we will get the value of x which is