3/x=(9/8x)+3

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Solution for 3/x=(9/8x)+3 equation:


D( x )

x = 0

x = 0

x = 0

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

3/x = (9/8)*x+3 // - (9/8)*x+3

3/x-((9/8)*x)-3 = 0

(-9/8)*x+3/x-3 = 0

3*x^-1-9/8*x^1-3*x^0 = 0

(3*x^0-9/8*x^2-3*x^1)/(x^1) = 0 // * x^2

x^1*(3*x^0-9/8*x^2-3*x^1) = 0

x^1

(-9/8)*x^2-3*x+3 = 0

(-9/8)*x^2-3*x+3 = 0

DELTA = (-3)^2-(3*4*(-9/8))

DELTA = 45/2

DELTA > 0

x = ((45/2)^(1/2)+3)/(2*(-9/8)) or x = (3-(45/2)^(1/2))/(2*(-9/8))

x = -4/9*((45/2)^(1/2)+3) or x = -4/9*(3-(45/2)^(1/2))

x in { -4/9*((45/2)^(1/2)+3), -4/9*(3-(45/2)^(1/2))}

x in { -4/9*((45/2)^(1/2)+3), -4/9*(3-(45/2)^(1/2)) }

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