Question

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.

Answer 1

p^2 - 5p + 25/4

(p - 5/2)^2

Answer 2

why is it 25/4...?

Answer 3

the answer is supposed to be: 6.25

Answer 4

i believe they are the same number

Answer 5

it is the answer but why is it 25/4?

Answer 6

it is
\[\frac{25}{4}\] because
\[(\frac{5}{2})^2=\frac{25}{4}\]

Answer 7

ohhhhh

Answer 8

and it is
\[\frac{5}{2}\] because you started with
\[x^2-5x+k\]

Answer 9

ohh, i get it now thank you!

Answer 10

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

\[p ^{2} - 5p + 25/4 = -k + \left(\begin{matrix}25 \\ 4\end{matrix}\right)\]

Answer 11

= \[(p - 5/2)^{2} = -25/4\]

= \[p - 5/2 = +- (\sqrt{25}/\sqrt{4}\]

Answer 12

p = -5/3 +- 5/2

Help!