36/3x-12+1/x-4=13/3

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Solution for 36/3x-12+1/x-4=13/3 equation:


D( x )

x = 0

x = 0

x = 0

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

(36/3)*x+1/x-12-4 = 13/3 // - 13/3

(36/3)*x+1/x-(13/3)-12-4 = 0

(36/3)*x+1/x-13/3-12-4 = 0

12*x^1+1*x^-1-61/3*x^0 = 0

(12*x^2-61/3*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(12*x^2-61/3*x^1+1*x^0) = 0

x^1

12*x^2+(-61/3)*x+1 = 0

12*x^2+(-61/3)*x+1 = 0

DELTA = (-61/3)^2-(1*4*12)

DELTA = 3289/9

DELTA > 0

x = ((3289/9)^(1/2)-(-61/3))/(2*12) or x = (-(-61/3)-(3289/9)^(1/2))/(2*12)

x = ((3289/9)^(1/2)+61/3)/24 or x = (61/3-(3289/9)^(1/2))/24

x in { (61/3-(3289/9)^(1/2))/24, ((3289/9)^(1/2)+61/3)/24}

x in { (61/3-(3289/9)^(1/2))/24, ((3289/9)^(1/2)+61/3)/24 }

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