0
$\begingroup$

I'm not sure how to complete this- Could someone help describe to me how exactly this is a quadratic equation? Or how can I manipulate the variables to make it one? It has been a while since I've worked with quadratics, also, I've never seen one like this before. Thanks for looking.

$$\frac{1}{200-s} + \frac{1}{s} = \frac{1}{32}$$

$\endgroup$
  • 1
    $\begingroup$ Multiply everything by the common denominator. $\endgroup$ – Crostul May 20 '17 at 21:18
0
$\begingroup$

\begin{align*} \frac{1}{200-s} + \frac{1}{s} &= \frac{1}{32} \\ \frac{200}{200s-s^2}&= \frac{1}{32} \\ \frac{200s-s^2}{200}&= 32 \\ 200s-s^2 &= 6400 \\ -s^2+200s-6400&=0 \end{align*} Do you see now?

| cite | improve this answer | |
$\endgroup$
  • $\begingroup$ Kind of.... What exactly did you do to get from the first step to the second step? $\endgroup$ – pstumps May 20 '17 at 21:29
  • $\begingroup$ @pstumps Get common denominator. $$\frac{1}{200-s}+\frac1s = \frac{1}{200-s}\cdot \frac{s}{s} + \frac{1}{s}\cdot\frac{200-s}{200-s} = \frac{s}{(200-s)s} + \frac{200-s}{(200-s)s} = \frac{s+200-s}{(200-s)s} = \frac{200}{200s-s^2}. $$ $\endgroup$ – Eff May 20 '17 at 21:32
  • $\begingroup$ Ah I see! Thanks so much, I apprecaite it! $\endgroup$ – pstumps May 20 '17 at 21:34

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.