(4x-4/x-7)(3x+5/x-1)

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Solution for (4x-4/x-7)(3x+5/x-1) equation: 


D( x )

x = 0

x = 0

x = 0

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

(4*x-(4/x)-7)*(3*x+5/x-1) = 0

(4*x-4*x^-1-7)*(3*x+5/x-1) = 0

(4*x-4*x^-1-7)*(3*x+5*x^-1-1) = 0

4*x-4*x^-1-7 = 0

4*x^1-4*x^-1-7*x^0 = 0

(4*x^2-7*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2-7*x^1-4*x^0) = 0

x^1

4*x^2-7*x-4 = 0

4*x^2-7*x-4 = 0

DELTA = (-7)^2-(-4*4*4)

DELTA = 113

DELTA > 0

x = (113^(1/2)+7)/(2*4) or x = (7-113^(1/2))/(2*4)

x = (113^(1/2)+7)/8 or x = (7-113^(1/2))/8

x in { (7-113^(1/2))/8, (113^(1/2)+7)/8} 

(x-((7-113^(1/2))/8))*(x-((113^(1/2)+7)/8)) = 0

3*x+5*x^-1-1 = 0

3*x^1+5*x^-1-1*x^0 = 0

(3*x^2-1*x^1+5*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-1*x^1+5*x^0) = 0

x^1

3*x^2-x+5 = 0

3*x^2-x+5 = 0

DELTA = (-1)^2-(3*4*5)

DELTA = -59

DELTA < 0

x in { } 

1 = 0

(x-((7-113^(1/2))/8))*(x-((113^(1/2)+7)/8)) = 0

( x-((113^(1/2)+7)/8) )

x-((113^(1/2)+7)/8) = 0 // + (113^(1/2)+7)/8

x = (113^(1/2)+7)/8

( x-((7-113^(1/2))/8) )

x-((7-113^(1/2))/8) = 0 // + (7-113^(1/2))/8

x = (7-113^(1/2))/8

x in { (113^(1/2)+7)/8, (7-113^(1/2))/8 }

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