3/x+2=5/2x+9/4

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Solution for 3/x+2=5/2x+9/4 equation:


D( x )

x = 0

x = 0

x = 0

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

3/x+2 = (5/2)*x+9/4 // - (5/2)*x+9/4

3/x-((5/2)*x)-(9/4)+2 = 0

(-5/2)*x+3/x-9/4+2 = 0

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

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

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

x^1

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

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

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

DELTA = 481/16

DELTA > 0

x = ((481/16)^(1/2)-(-1/4))/(2*(-5/2)) or x = (-(-1/4)-(481/16)^(1/2))/(2*(-5/2))

x = ((481/16)^(1/2)+1/4)/(-5) or x = (1/4-(481/16)^(1/2))/(-5)

x in { ((481/16)^(1/2)+1/4)/(-5), (1/4-(481/16)^(1/2))/(-5)}

x in { ((481/16)^(1/2)+1/4)/(-5), (1/4-(481/16)^(1/2))/(-5) }

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