4/x=29/8x+3

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Solution for 4/x=29/8x+3 equation:


D( x )

x = 0

x = 0

x = 0

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

4/x = (29/8)*x+3 // - (29/8)*x+3

4/x-((29/8)*x)-3 = 0

(-29/8)*x+4/x-3 = 0

4*x^-1-29/8*x^1-3*x^0 = 0

(4*x^0-29/8*x^2-3*x^1)/(x^1) = 0 // * x^2

x^1*(4*x^0-29/8*x^2-3*x^1) = 0

x^1

(-29/8)*x^2-3*x+4 = 0

(-29/8)*x^2-3*x+4 = 0

DELTA = (-3)^2-(4*4*(-29/8))

DELTA = 67

DELTA > 0

x = (67^(1/2)+3)/(2*(-29/8)) or x = (3-67^(1/2))/(2*(-29/8))

x = -4/29*(67^(1/2)+3) or x = -4/29*(3-67^(1/2))

x in { -4/29*(67^(1/2)+3), -4/29*(3-67^(1/2))}

x in { -4/29*(67^(1/2)+3), -4/29*(3-67^(1/2)) }

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