2/x=13/8x+3

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Solution for 2/x=13/8x+3 equation:


D( x )

x = 0

x = 0

x = 0

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

2/x = (13/8)*x+3 // - (13/8)*x+3

2/x-((13/8)*x)-3 = 0

(-13/8)*x+2/x-3 = 0

2*x^-1-13/8*x^1-3*x^0 = 0

(2*x^0-13/8*x^2-3*x^1)/(x^1) = 0 // * x^2

x^1*(2*x^0-13/8*x^2-3*x^1) = 0

x^1

(-13/8)*x^2-3*x+2 = 0

(-13/8)*x^2-3*x+2 = 0

DELTA = (-3)^2-(2*4*(-13/8))

DELTA = 22

DELTA > 0

x = (22^(1/2)+3)/(2*(-13/8)) or x = (3-22^(1/2))/(2*(-13/8))

x = -4/13*(22^(1/2)+3) or x = -4/13*(3-22^(1/2))

x in { -4/13*(22^(1/2)+3), -4/13*(3-22^(1/2))}

x in { -4/13*(22^(1/2)+3), -4/13*(3-22^(1/2)) }

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