3/x-5/6/3x-15

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Solution for 3/x-5/6/3x-15 equation:


D( x )

x = 0

x = 0

x = 0

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

3/x-(((5/6)/3)*x)-15 = 0

(-5/18)*x+3/x-15 = 0

3*x^-1-5/18*x^1-15*x^0 = 0

(3*x^0-5/18*x^2-15*x^1)/(x^1) = 0 // * x^2

x^1*(3*x^0-5/18*x^2-15*x^1) = 0

x^1

(-5/18)*x^2-15*x+3 = 0

(-5/18)*x^2-15*x+3 = 0

DELTA = (-15)^2-(3*4*(-5/18))

DELTA = 685/3

DELTA > 0

x = ((685/3)^(1/2)+15)/(2*(-5/18)) or x = (15-(685/3)^(1/2))/(2*(-5/18))

x = -9/5*((685/3)^(1/2)+15) or x = -9/5*(15-(685/3)^(1/2))

x in { -9/5*((685/3)^(1/2)+15), -9/5*(15-(685/3)^(1/2))}

x in { -9/5*((685/3)^(1/2)+15), -9/5*(15-(685/3)^(1/2)) }

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