haileu9093
haileu9093 haileu9093
  • 23-05-2017
  • Mathematics
contestada

Choose the constant term that completes the perfect square trinomial. y2 + y +1/16 +1/4 +1

Respuesta :

3mar 3mar
  • 23-05-2017
[tex]y^2+y+ \frac{1}{4} =(y+ \frac{1}{2} )^2[/tex]
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Cricetus
Cricetus Cricetus
  • 07-07-2019

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Let us see the standard form of an quadratic equation converted form of complete square .

[tex](a+b)^2=a^2+2*a*b+b^2[/tex]

The first two terms given are

[tex]y^2+y\\=y^2+2*\frac{1}{2}*y[/tex]

Hence comparing it with our standard form

The constant term must be the square of the middle term. That it [tex](\frac{1}{2})^2=\frac{1}{4}[/tex]

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