Select the graph for the solution of the open sentence. Click until the correct graph appears. |x| + 1 > 7 over 2

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Ответ:

sierram298

14.05.2021

Mathematics

Hello!

The answers are:

a) $\frac{49}{4}$

b) $(x+\frac{7}{2})^{2}$

Why?

First, we need to know that for this case:

$a=1\\2ab=7$

So,

$b=\frac{7}{2}$

$b^{2} =(\frac{7}{2})^{2}=\frac{49}{4}$

We must add $\frac{49}{4}$ to the expression in order to form a perfect square trinomial,

$x^{2} +7x+\frac{49}{4}$

Writing the trinomial as a binomial square:

$(x+\frac{7}{2})^{2}=x^{2}+2*\frac{7}{2}*x+(\frac{7}{2})^{2}=x^{2} +7x+\frac{49}{4}$

Have a nice day!

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