Answer:
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 4. 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:
Now solve the equation:
Note that the term is always
therefore it can not be equal to -28.
The equation has no solution in real numbers.
In the same way we can find the complex roots: