4/x=(9/8)*x+1

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Solution for 4/x=(9/8)*x+1 equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x = (9/8)*x+1 // - (9/8)*x+1

4/x-((9/8)*x)-1 = 0

(-9/8)*x+4/x-1 = 0

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

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

x^1*(4*x^0-9/8*x^2-1*x^1) = 0

x^1

(-9/8)*x^2-x+4 = 0

(-9/8)*x^2-x+4 = 0

DELTA = (-1)^2-(4*4*(-9/8))

DELTA = 19

DELTA > 0

x = (19^(1/2)+1)/(2*(-9/8)) or x = (1-19^(1/2))/(2*(-9/8))

x = -4/9*(19^(1/2)+1) or x = -4/9*(1-19^(1/2))

x in { -4/9*(19^(1/2)+1), -4/9*(1-19^(1/2))} 

x in { -4/9*(19^(1/2)+1), -4/9*(1-19^(1/2)) }

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