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denis23 [38]
2 years ago
11

So confused pls help>>>> there’s a pic

Mathematics
2 answers:
ohaa [14]2 years ago
8 0

Answer:

  (c)  25/4

Step-by-step explanation:

A perfect square trinomial is obtained by "completing the square." The constant in a perfect square trinomial is the square of half the x-coefficient.

<h3>Square of a binomial</h3>

A "perfect square trinomial" is the square of a binomial.

  (x +a)² = x² +2ax +a²

Of note here is that the constant (a²) is the square of half of the x-term coefficient:

  ((2a)/2)² = a²

<h3>Completing the square</h3>

The given expression (x² +5x) has an x-term coefficient of 5. The square of half that is ...

  (5/2)² = 25/4

The constant that must be added to make x² +5x into a perfect square trinomial is 25/4.

  (x² +5x) +25/4 = x² +5x +25/4 = (x +5/2)²

Volgvan2 years ago
3 0
25/4 is the right answer have a good day :)
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