4x-3/5-4/x+2(x-13)/15

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Solution for 4x-3/5-4/x+2(x-13)/15 equation:


D( x )

x = 0

x = 0

x = 0

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

(2*(x-13))/15+4*x-(4/x)-(3/5) = 0

(2*(x-13))/15+4*x-4*x^-1-3/5 = 0

(2*(x-13))/15+4*x-4/x-3/5 = 0

(2*5*x*(x-13))/(5*15*x)+(4*5*15*x*x)/(5*15*x)+(-4*5*15)/(5*15*x)+(-3*15*x)/(5*15*x) = 0

2*5*x*(x-13)+4*5*15*x*x-3*15*x-4*5*15 = 0

310*x^2-130*x-45*x-300 = 0

310*x^2-175*x-300 = 0

310*x^2-175*x-300 = 0

5*(62*x^2-35*x-60) = 0

62*x^2-35*x-60 = 0

DELTA = (-35)^2-(-60*4*62)

DELTA = 16105

DELTA > 0

x = (16105^(1/2)+35)/(2*62) or x = (35-16105^(1/2))/(2*62)

x = (16105^(1/2)+35)/124 or x = (35-16105^(1/2))/124

5*(x-((35-16105^(1/2))/124))*(x-((16105^(1/2)+35)/124)) = 0

(5*(x-((35-16105^(1/2))/124))*(x-((16105^(1/2)+35)/124)))/(5*15*x) = 0

(5*(x-((35-16105^(1/2))/124))*(x-((16105^(1/2)+35)/124)))/(5*15*x) = 0 // * 5*15*x

5*(x-((35-16105^(1/2))/124))*(x-((16105^(1/2)+35)/124)) = 0

( x-((16105^(1/2)+35)/124) )

x-((16105^(1/2)+35)/124) = 0 // + (16105^(1/2)+35)/124

x = (16105^(1/2)+35)/124

( x-((35-16105^(1/2))/124) )

x-((35-16105^(1/2))/124) = 0 // + (35-16105^(1/2))/124

x = (35-16105^(1/2))/124

x in { (16105^(1/2)+35)/124, (35-16105^(1/2))/124 }

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