4/x=13/4x+3

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Solution for 4/x=13/4x+3 equation:


D( x )

x = 0

x = 0

x = 0

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

4/x = (13/4)*x+3 // - (13/4)*x+3

4/x-((13/4)*x)-3 = 0

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

4*x^-1-13/4*x^1-3*x^0 = 0

(4*x^0-13/4*x^2-3*x^1)/(x^1) = 0 // * x^2

x^1*(4*x^0-13/4*x^2-3*x^1) = 0

x^1

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

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

DELTA = (-3)^2-(4*4*(-13/4))

DELTA = 61

DELTA > 0

x = (61^(1/2)+3)/(2*(-13/4)) or x = (3-61^(1/2))/(2*(-13/4))

x = -2/13*(61^(1/2)+3) or x = -2/13*(3-61^(1/2))

x in { -2/13*(61^(1/2)+3), -2/13*(3-61^(1/2))}

x in { -2/13*(61^(1/2)+3), -2/13*(3-61^(1/2)) }

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