3/x=21/8x+3

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Solution for 3/x=21/8x+3 equation:


D( x )

x = 0

x = 0

x = 0

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

3/x = (21/8)*x+3 // - (21/8)*x+3

3/x-((21/8)*x)-3 = 0

(-21/8)*x+3/x-3 = 0

3*x^-1-21/8*x^1-3*x^0 = 0

(3*x^0-21/8*x^2-3*x^1)/(x^1) = 0 // * x^2

x^1*(3*x^0-21/8*x^2-3*x^1) = 0

x^1

(-21/8)*x^2-3*x+3 = 0

(-21/8)*x^2-3*x+3 = 0

DELTA = (-3)^2-(3*4*(-21/8))

DELTA = 81/2

DELTA > 0

x = ((81/2)^(1/2)+3)/(2*(-21/8)) or x = (3-(81/2)^(1/2))/(2*(-21/8))

x = -4/21*((81/2)^(1/2)+3) or x = -4/21*(3-(81/2)^(1/2))

x in { -4/21*((81/2)^(1/2)+3), -4/21*(3-(81/2)^(1/2))}

x in { -4/21*((81/2)^(1/2)+3), -4/21*(3-(81/2)^(1/2)) }

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