4x+5/x-3-x-5/3x-9

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Solution for 4x+5/x-3-x-5/3x-9 equation:


D( x )

x = 0

x = 0

x = 0

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

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

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

4/3*x^1+5*x^-1-12*x^0 = 0

(4/3*x^2-12*x^1+5*x^0)/(x^1) = 0 // * x^2

x^1*(4/3*x^2-12*x^1+5*x^0) = 0

x^1

(4/3)*x^2-12*x+5 = 0

(4/3)*x^2-12*x+5 = 0

DELTA = (-12)^2-(4*5*(4/3))

DELTA = 352/3

DELTA > 0

x = ((352/3)^(1/2)+12)/(2*(4/3)) or x = (12-(352/3)^(1/2))/(2*(4/3))

x = 3/8*((352/3)^(1/2)+12) or x = 3/8*(12-(352/3)^(1/2))

x in { 3/8*(12-(352/3)^(1/2)), 3/8*((352/3)^(1/2)+12)}

x in { 3/8*(12-(352/3)^(1/2)), 3/8*((352/3)^(1/2)+12) }

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