3/x+3=5/4x+25/8

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Solution for 3/x+3=5/4x+25/8 equation: 


D( x )

x = 0

x = 0

x = 0

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

3/x+3 = (5/4)*x+25/8 // - (5/4)*x+25/8

3/x-((5/4)*x)-(25/8)+3 = 0

(-5/4)*x+3/x-25/8+3 = 0

3*x^-1-5/4*x^1-1/8*x^0 = 0

(3*x^0-5/4*x^2-1/8*x^1)/(x^1) = 0 // * x^2

x^1*(3*x^0-5/4*x^2-1/8*x^1) = 0

x^1

(-5/4)*x^2+(-1/8)*x+3 = 0

(-5/4)*x^2+(-1/8)*x+3 = 0

DELTA = (-1/8)^2-(3*4*(-5/4))

DELTA = 961/64

DELTA > 0

x = ((961/64)^(1/2)-(-1/8))/(2*(-5/4)) or x = (-(-1/8)-(961/64)^(1/2))/(2*(-5/4))

x = -8/5 or x = 3/2

x in { -8/5, 3/2} 

x in { -8/5, 3/2 }

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