(1/p)+(12/(p-18))=p/(p-18)

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Solution for (1/p)+(12/(p-18))=p/(p-18) equation: 


D( p )

p = 0

p-18 = 0

p = 0

p = 0

p-18 = 0

p-18 = 0

p-18 = 0 // + 18

p = 18

p in (-oo:0) U (0:18) U (18:+oo)

12/(p-18)+1/p = p/(p-18) // - p/(p-18)

12/(p-18)-(p/(p-18))+1/p = 0

12/(p-18)+(-1*p)/(p-18)+1/p = 0

(12*p)/(p*(p-18))+(-1*p^2)/(p*(p-18))+(1*(p-18))/(p*(p-18)) = 0

1*(p-18)-1*p^2+12*p = 0

12*p-p^2+p-18 = 0

13*p-p^2-18 = 0

13*p-p^2-18 = 0

13*p-p^2-18 = 0

DELTA = 13^2-(-18*(-1)*4)

DELTA = 97

DELTA > 0

p = (97^(1/2)-13)/(-1*2) or p = (-97^(1/2)-13)/(-1*2)

p = (97^(1/2)-13)/(-2) or p = (97^(1/2)+13)/2

(p-((97^(1/2)-13)/(-2)))*(p-((97^(1/2)+13)/2)) = 0

((p-((97^(1/2)-13)/(-2)))*(p-((97^(1/2)+13)/2)))/(p*(p-18)) = 0

((p-((97^(1/2)-13)/(-2)))*(p-((97^(1/2)+13)/2)))/(p*(p-18)) = 0 // * p*(p-18)

(p-((97^(1/2)-13)/(-2)))*(p-((97^(1/2)+13)/2)) = 0

( p-((97^(1/2)+13)/2) )

p-((97^(1/2)+13)/2) = 0 // + (97^(1/2)+13)/2

p = (97^(1/2)+13)/2

( p-((97^(1/2)-13)/(-2)) )

p-((97^(1/2)-13)/(-2)) = 0 // + (97^(1/2)-13)/(-2)

p = (97^(1/2)-13)/(-2)

p in { (97^(1/2)+13)/2, (97^(1/2)-13)/(-2) }

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