(2p-3/4)-(p-1/3)/(p/3)-(p-1/2)

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Solution for (2p-3/4)-(p-1/3)/(p/3)-(p-1/2) equation:


D( p )

p/3 = 0

p/3 = 0

p/3 = 0

1/3*p = 0 // : 1/3

p = 0

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

2*p-((p-(1/3))/(p/3))-p-(3/4)+1/2 = 0

2*p-3*p^-1*(p-1/3)-p-3/4+1/2 = 0

(-3*2*4*p^-1*(p-1/3))/(2*4)+(2*2*4*p)/(2*4)+(2*4*(-p))/(2*4)+(-3*2)/(2*4)+(1*4)/(2*4) = 0

2*2*4*p-3*2*4*p^-1*(p-1/3)+2*4*(-p)-3*2+1*4 = 0

16*p-8*p+8*p^-1-24-6+4 = 0

8*p+8*p^-1-24-6+4 = 0

8*p+8*p^-1-30+4 = 0

8*p+8*p^-1-26 = 0

8*p+8*p^-1-26 = 0

2*(4*p+4*p^-1-13) = 0

4*p^1+4*p^-1-13*p^0 = 0

(4*p^2-13*p^1+4*p^0)/(p^1) = 0 // * p^2

p^1*(4*p^2-13*p^1+4*p^0) = 0

p^1

4*p^2-13*p+4 = 0

4*p^2-13*p+4 = 0

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

DELTA = 105

DELTA > 0

p = (105^(1/2)+13)/(2*4) or p = (13-105^(1/2))/(2*4)

p = (105^(1/2)+13)/8 or p = (13-105^(1/2))/8

p in { (13-105^(1/2))/8, (105^(1/2)+13)/8}

2*(p-((13-105^(1/2))/8))*(p-((105^(1/2)+13)/8)) = 0

(2*(p-((13-105^(1/2))/8))*(p-((105^(1/2)+13)/8)))/(2*4) = 0

(2*(p-((13-105^(1/2))/8))*(p-((105^(1/2)+13)/8)))/(2*4) = 0 // * 2*4

2*(p-((13-105^(1/2))/8))*(p-((105^(1/2)+13)/8)) = 0

( p-((105^(1/2)+13)/8) )

p-((105^(1/2)+13)/8) = 0 // + (105^(1/2)+13)/8

p = (105^(1/2)+13)/8

( p-((13-105^(1/2))/8) )

p-((13-105^(1/2))/8) = 0 // + (13-105^(1/2))/8

p = (13-105^(1/2))/8

p in { (105^(1/2)+13)/8, (13-105^(1/2))/8 }

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