36/x=18/4x-4

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Solution for 36/x=18/4x-4 equation:


D( x )

x = 0

x = 0

x = 0

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

36/x = (18/4)*x-4 // - (18/4)*x-4

36/x-((18/4)*x)+4 = 0

(-9/2)*x+36/x+4 = 0

36*x^-1-9/2*x^1+4*x^0 = 0

(4*x^1-9/2*x^2+36*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^1-9/2*x^2+36*x^0) = 0

x^1

(-9/2)*x^2+4*x+36 = 0

(-9/2)*x^2+4*x+36 = 0

DELTA = 4^2-(4*36*(-9/2))

DELTA = 664

DELTA > 0

x = (664^(1/2)-4)/(2*(-9/2)) or x = (-664^(1/2)-4)/(2*(-9/2))

x = (2*166^(1/2)-4)/(-9) or x = (-2*166^(1/2)-4)/(-9)

x in { (2*166^(1/2)-4)/(-9), (-2*166^(1/2)-4)/(-9)}

x in { (2*166^(1/2)-4)/(-9), (-2*166^(1/2)-4)/(-9) }

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