5/x=7/2x-15

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Solution for 5/x=7/2x-15 equation:


D( x )

x = 0

x = 0

x = 0

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

5/x = (7/2)*x-15 // - (7/2)*x-15

5/x-((7/2)*x)+15 = 0

(-7/2)*x+5/x+15 = 0

5*x^-1-7/2*x^1+15*x^0 = 0

(15*x^1-7/2*x^2+5*x^0)/(x^1) = 0 // * x^2

x^1*(15*x^1-7/2*x^2+5*x^0) = 0

x^1

(-7/2)*x^2+15*x+5 = 0

(-7/2)*x^2+15*x+5 = 0

DELTA = 15^2-(4*5*(-7/2))

DELTA = 295

DELTA > 0

x = (295^(1/2)-15)/(2*(-7/2)) or x = (-295^(1/2)-15)/(2*(-7/2))

x = (295^(1/2)-15)/(-7) or x = (295^(1/2)+15)/7

x in { (295^(1/2)-15)/(-7), (295^(1/2)+15)/7}

x in { (295^(1/2)-15)/(-7), (295^(1/2)+15)/7 }

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