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. (I have some steps that I don't understand.)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
coefficient of p = -5 coefficient of p / 2 = -5/2 (coefficient of p / 2)^2 = (-5/2)^2 = 25/4
anonymous
  • anonymous
p^2 - 5p + 25/4 = -k + 25/4 (p-5/2)^2 = +- 25/4 p = -5/2 +- 5/2
anonymous
  • anonymous
the answer has to be 6.25

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
To find k 1) Take the coefficient of p = -5 2) Divide this answer by 2 = -5/2 3) Square this answer = 25/4 So we have p^2 - 5p + 25/4. Now factor this expression (p - 5/2)(p - 5/2) or (p - 5/2)^2
anonymous
  • anonymous
ohhh..
Mertsj
  • Mertsj
\[\frac{1}{2}\times5=\frac{5}{2}, (\frac{5}{2})^2=\frac{25}{4}=6.25\]
Mertsj
  • Mertsj
so add 6.25 to complete the square.

Looking for something else?

Not the answer you are looking for? Search for more explanations.