mathmath333
  • mathmath333
fun question
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.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
mathmath333
  • mathmath333
\(\large \color{black}{\begin{align} &\text{if}\quad p,q,r \quad \text{are roots of } \hspace{.33em}\\~\\ &x^3-5x-4=0 \hspace{.33em}\\~\\ &\text{find }\quad \left(\dfrac{1}{p+q}+\dfrac{1}{r+q}+\dfrac{1}{p+r}\right) \end{align}}\)
imqwerty
  • imqwerty
5/4
mathmath333
  • mathmath333
that's correct!

Looking for something else?

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

More answers

anonymous
  • anonymous
yeah 5/4
mathmath333
  • mathmath333
by the way how did u find that
imqwerty
  • imqwerty
sorry for the cuttings
1 Attachment
ganeshie8
  • ganeshie8
\[x^3-5x-4=0\] Vieta's formulas gives sum of roots : \(p+q+r=0 \implies p+q=-r, ~q+r=-p,~~r+p=-q\) \(pq+qr+rp=-5\) \(pqr=4\) plugging them in the given expression we get \[\begin{align}& \frac{1}{-r}+\frac{1}{-p}+\frac{1}{-q}\\~\\&=-\frac{pq+qr+rp}{pqr}\\~\\&=-\frac{-5}{4}\end{align}\]
imqwerty
  • imqwerty
damn i didn't thought that way
skullpatrol
  • skullpatrol
you have two minus signs in your answer @ganeshie8
ganeshie8
  • ganeshie8
Haha final answer is indeed +5/4
skullpatrol
  • skullpatrol
:D
mathmath333
  • mathmath333
that was the actual way
skullpatrol
  • skullpatrol
what do you mean by "actual"?
mathmath333
  • mathmath333
efficient , optimal
skullpatrol
  • skullpatrol
Is there such a thing as an "efficient" or "optimal" way to have fun with a question in math?
ganeshie8
  • ganeshie8
I think many times there exists "the" best way to solve a problem... initially i tried combining the fractions and expanding everything but that went v messy it actually took some time to see that p+q+r=0 is useful
imqwerty
  • imqwerty
that's what makes u the professor :)
mathmath333
  • mathmath333
@skullpatrol using the fact p+q+r=0 makes it easy , while trying to solve it with rigour loos like to kill a rat with atom bomb that's why it was fun question
ParthKohli
  • ParthKohli
@parthkohli. holy hell, haha, who's this
skullpatrol
  • skullpatrol
Thank you for making the intent of your objective clear :-)

Looking for something else?

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