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:

Comparing y = -x - 5 with y = mx+c,
Slope(m) = -1
The correct answer is: [C]: " 1/4 " .
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Explanation:
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(-3/8) + (5/8) = (-3 + 5) / 8 = 2/8 ;
→ 2/8 = (2÷2) / (8÷2) = 1/4 ; → which is: Answer choice: [C]: " 1/4" .
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Answer:
2x^2 - 16x + 30
Step-by-step explanation:
Here, we want to get the composite function;
p•q(x)
All we have to do here is to replace the x value in p(x) by the totality of q(x)
we have this as ;
= 2(x-3)^2 - 4(x-3)
= 2(x^2 -6x + 9) - 4(x-3)
= 2x^2 -12x + 18 -4x + 12
= 2x^2 - 16x + 30