Solve by completing the square. x2+6x−6=0

For this case we must solve the following equation by completing squares:

We add 6 to both sides of the equation:

We divide the middle term by 2, and square it:

And we add it to both sides of the equation:

We rewrite the left part of the equation:

We apply root to both sides:

We have two solutions:

Step-by-step explanation:

We have the following equation

To use the method of completing squares you must take the coefficient of x and divide it by 2 and square the result.

Now add 9 on both sides of equality

Factor the term in parentheses

Add 6 on both sides of the equation

Take square root on both sides of the equation

Subtract 3 from both sides of the equation.

c. 1,233 miles