anonymous
  • anonymous
State the value of k that makes each expression a perfect square trinomial. Then, write the trinomial as the square of a binomial: p^2 - 5p + k.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Hero
  • Hero
p^2 - 5p + 25/4 (p - 5/2)^2
anonymous
  • anonymous
why is it 25/4...?
anonymous
  • anonymous
the answer is supposed to be: 6.25

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anonymous
  • anonymous
i believe they are the same number
anonymous
  • anonymous
it is the answer but why is it 25/4?
anonymous
  • anonymous
it is \[\frac{25}{4}\] because \[(\frac{5}{2})^2=\frac{25}{4}\]
anonymous
  • anonymous
ohhhhh
anonymous
  • anonymous
and it is \[\frac{5}{2}\] because you started with \[x^2-5x+k\]
anonymous
  • anonymous
ohh, i get it now thank you!
anonymous
  • anonymous
Okay so here's what I did: \[p ^{2} - 5p + k =0\] coefficient of p = -5 coefficient of p / 2 = -5/2 (coefficient of p/2)^2 = (-5/2)^2 = 25.4 \[p ^{2} - 5p + 25/4 = -k + \left(\begin{matrix}25 \\ 4\end{matrix}\right)\]
anonymous
  • anonymous
= \[(p - 5/2)^{2} = -25/4\] = \[p - 5/2 = +- (\sqrt{25}/\sqrt{4}\]
anonymous
  • anonymous
p = -5/3 +- 5/2 Help!

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