Solve each quadratic equation by completing the square. give exact answers--no decimals.

The answer is: There is no solution in the real numbers for the given equation since we have as result complex roots.

Complex roots:

We can re-write the given function in a simplest way:

Then, dividing each side into -3, we have:

Finding each term:

Adding to each side, we have:

Then,

Since there is no negative roots in the real numbers, there is no solution for the given equation.

Have a nice day!

Step-by-step explanation:

In this problem we have the equation of the following quadratic equation and we want to solve it using the method of square completion:

The steps are shown below:

For any equation of the form:

1. If the coefficient a is different from 1, then take a as a common factor.

In this case . Then:

2. Take the coefficient b that accompanies the variable x. In this case the coefficient is 2. Then, divide by 2 and the result squared it.

We have:

3. Add the term obtained in the previous step on both sides of equality, remember to multiply by the common factor :

4. Factor the resulting expression, and you will get:

Then, The equation has no solution in real numbers.

In the same way we can find the complex roots:

Now solve the equation:

answer: what is the question you're trying to ask?

step-by-step explanation: