2/x+(2)=3/4x+(17)/8

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Solution for 2/x+(2)=3/4x+(17)/8 equation: 


D( x )

x = 0

x = 0

x = 0

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

2/x+2 = (3/4)*x+17/8 // - (3/4)*x+17/8

2/x-((3/4)*x)-(17/8)+2 = 0

(-3/4)*x+2/x-17/8+2 = 0

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

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

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

x^1

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

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

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

DELTA = 385/64

DELTA > 0

x = ((385/64)^(1/2)-(-1/8))/(2*(-3/4)) or x = (-(-1/8)-(385/64)^(1/2))/(2*(-3/4))

x = -2/3*((385/64)^(1/2)+1/8) or x = -2/3*(1/8-(385/64)^(1/2))

x in { -2/3*((385/64)^(1/2)+1/8), -2/3*(1/8-(385/64)^(1/2))} 

x in { -2/3*((385/64)^(1/2)+1/8), -2/3*(1/8-(385/64)^(1/2)) }

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