(8/x-2)-(13/2)=(3/2x-4)

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Solution for (8/x-2)-(13/2)=(3/2x-4) equation:


D( x )

x = 0

x = 0

x = 0

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

8/x-(13/2)-2 = (3/2)*x-4 // - (3/2)*x-4

8/x-((3/2)*x)-(13/2)-2+4 = 0

(-3/2)*x+8/x-13/2-2+4 = 0

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

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

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

x^1

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

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

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

DELTA = 273/4

DELTA > 0

x = ((273/4)^(1/2)-(-9/2))/(2*(-3/2)) or x = (-(-9/2)-(273/4)^(1/2))/(2*(-3/2))

x = ((273/4)^(1/2)+9/2)/(-3) or x = (9/2-(273/4)^(1/2))/(-3)

x in { ((273/4)^(1/2)+9/2)/(-3), (9/2-(273/4)^(1/2))/(-3)}

x in { ((273/4)^(1/2)+9/2)/(-3), (9/2-(273/4)^(1/2))/(-3) }

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