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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

4*x^-1-17/8*x^1-3*x^0 = 0

(4*x^0-17/8*x^2-3*x^1)/(x^1) = 0 // * x^2

x^1*(4*x^0-17/8*x^2-3*x^1) = 0

x^1

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

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

DELTA = (-3)^2-(4*4*(-17/8))

DELTA = 43

DELTA > 0

x = (43^(1/2)+3)/(2*(-17/8)) or x = (3-43^(1/2))/(2*(-17/8))

x = -4/17*(43^(1/2)+3) or x = -4/17*(3-43^(1/2))

x in { -4/17*(43^(1/2)+3), -4/17*(3-43^(1/2))}

x in { -4/17*(43^(1/2)+3), -4/17*(3-43^(1/2)) }

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