Solve for a. You must write your answer in fully simplified form.
2 answers:
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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 we go directly to step 2
2. Take the coefficient b that accompanies the variable x. In this case the coefficient is -3. 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:
4. Factor the resulting expression, and you will get:
Now solve the equation:
Note that the term is always > 0 therefore it can not be equal to
The equation has no solution in real numbers.
In the same way we can find the complex roots: