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sloppycanada
 one year ago
How would one go about solving the following rational functions?
sloppycanada
 one year ago
How would one go about solving the following rational functions?

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sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1dw:1435629520612:dw

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Can you draw your function a little better, please? I can see the left hand side of the equation, \(\large\color{black}{ \displaystyle \frac{5}{5p}\frac{p^2}{5p} }\) but what is this equal to? What is the right side of your equation?

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1dw:1435631324555:dw

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1\(\large\color{black}{ \displaystyle \frac{5}{5p}\frac{p^2}{5p}=2}\) combine the two fractions first

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1\(\large\color{black}{ \displaystyle \frac{5p^2}{5p}=2}\) would this be correct, how do you think?

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1No this wouldn't be correct? Since p  (p) would cancel out right?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1just as \(\large\color{black}{ \displaystyle \frac{A}{B}\frac{C}{B}\Rightarrow \frac{AC}{B}}\) so is \(\large\color{black}{ \displaystyle \frac{5}{5p}\frac{p^2}{5p}\Rightarrow \frac{5p^2}{5p}}\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1is this making sense?

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1Oh okay.. so then I multiply both sides by the denominator?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1yes, you need to multiply times 5p on both sides

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1\(\large\color{black}{ \displaystyle \frac{5p^2}{5p}=2}\) \(\large\color{black}{ \displaystyle \left(\frac{5p^2}{5p}\right)\times (5p)=2 \times (5p)}\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.15p on the left side cancels \(\large\color{black}{ \displaystyle 5p^2=2(5p)}\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1now, solve for p

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.15  p^2 = 10 + 2p?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1now, bring everything over to the left side

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1or, you can subtract 2p from both sides, subtract 5 from both sides, divide by 1 on both sides, and complete the square

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.15p^2 + 10  2p = 0 15pp^2 2p

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1where is 2p though?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1should be: p²2p+15=0

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.115  p^2  2p = 0?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1yes, in my order is going to be more convenient

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1p²2p+15=0 divide both sides by 1, and factor the left side

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1you mean the numbers to factor, or solutions for p?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1p²+2p15=0 (p3)(p+5)=0 so that we have +2p, and yet 15.

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.1or, sorry I meant or.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1this is the original prob, correct?
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