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16 - 3p = 2/3p + 5

 Aug 29, 2016
 #1
avatar+14985 
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Hello Konzetsu!

 

16 - 3p = 2/3p + 5

 

\(16 - 3p = 2/3p + 5 \)

 

\(11 = 3p + 2/3p\)

 

\(11 = \frac{9\ p^{2}+ 2 }{3p} \)

 

\(33p = 9p^{2}+ 2 \)

 

\(9p^{2}- 33p+ 2= 0\)

 

\(a= 9; b= -33;c= 2\)

 

\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

 

\(x = {33 \pm \sqrt{33^2-4*9*2} \over 2*9}\)  

 

\(x_{1}= \frac{33+ \sqrt{1017} }{18} = 3.605\)

 

\(x_{2}= \frac{33- \sqrt{1017} }{18} = 0.06164\)

 

Greeting asinus :- ) laugh !

 

\(\)

 Aug 30, 2016
 #2
avatar+14985 
0

Hello Konzetsu!

 

I mistakenly entered at the end of x instead of p.
Please indulgence! Sorry!

 

16 - 3p = 2/3p + 5

 

\(16 - 3p = 2/3p + 5 \)

 

\(11 = 3p + 2/3p\)

 

\(11 = \frac{9\ p^{2}+ 2 }{3p} \)

 

\(33p = 9p^{2}+ 2 \)

 

\(9p^{2}- 33p+ 2= 0\)

 

\(a= 9; b= -33;c= 2\)

 

\(p = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

 

\(p = {33 \pm \sqrt{33^2-4*9*2} \over 2*9}\)  

 

\(p_{1}= \frac{33+ \sqrt{1017} }{18} = 3.605\)

 

\(p_{2}= \frac{33- \sqrt{1017} }{18} = 0.06164\)

 

Greeting asinus :- ) laugh !

 

\(\)

asinus  Aug 30, 2016

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