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damaskus [11]
3 years ago
15

The problem is in the picture :)

Mathematics
1 answer:
frozen [14]3 years ago
8 0

Answer:

Last option: 4

Step-by-step explanation:

The quadratic equation simplified: x^2-4x=-\frac{7}{2} has the form:

ax^2+bx=c

In this case, you can identify that "a", "b" and "c" are:

a=1\\b=-4\\c=-\frac{7}{2}

To solve this quadratic equation  by completing the square, Carlos should add (\frac{b}{2})^2 to both sides of the equation. This is:

(\frac{-4}{2})^2=(-2)^2=4

Then:

x^2-4x+4=-\frac{7}{2}+4

Therefore you can observe that the number he should add to both sides of the equation is: 4

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