3/x=15/8x+3

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Solution for 3/x=15/8x+3 equation:


D( x )

x = 0

x = 0

x = 0

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

3/x = (15/8)*x+3 // - (15/8)*x+3

3/x-((15/8)*x)-3 = 0

(-15/8)*x+3/x-3 = 0

3*x^-1-15/8*x^1-3*x^0 = 0

(3*x^0-15/8*x^2-3*x^1)/(x^1) = 0 // * x^2

x^1*(3*x^0-15/8*x^2-3*x^1) = 0

x^1

(-15/8)*x^2-3*x+3 = 0

(-15/8)*x^2-3*x+3 = 0

DELTA = (-3)^2-(3*4*(-15/8))

DELTA = 63/2

DELTA > 0

x = ((63/2)^(1/2)+3)/(2*(-15/8)) or x = (3-(63/2)^(1/2))/(2*(-15/8))

x = -4/15*((63/2)^(1/2)+3) or x = -4/15*(3-(63/2)^(1/2))

x in { -4/15*((63/2)^(1/2)+3), -4/15*(3-(63/2)^(1/2))}

x in { -4/15*((63/2)^(1/2)+3), -4/15*(3-(63/2)^(1/2)) }

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