30/3x-12+1/x-4=11/3

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Solution for 30/3x-12+1/x-4=11/3 equation:


D( x )

x = 0

x = 0

x = 0

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

(30/3)*x+1/x-12-4 = 11/3 // - 11/3

(30/3)*x+1/x-(11/3)-12-4 = 0

(30/3)*x+1/x-11/3-12-4 = 0

10*x^1+1*x^-1-59/3*x^0 = 0

(10*x^2-59/3*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(10*x^2-59/3*x^1+1*x^0) = 0

x^1

10*x^2+(-59/3)*x+1 = 0

10*x^2+(-59/3)*x+1 = 0

DELTA = (-59/3)^2-(1*4*10)

DELTA = 3121/9

DELTA > 0

x = ((3121/9)^(1/2)-(-59/3))/(2*10) or x = (-(-59/3)-(3121/9)^(1/2))/(2*10)

x = ((3121/9)^(1/2)+59/3)/20 or x = (59/3-(3121/9)^(1/2))/20

x in { (59/3-(3121/9)^(1/2))/20, ((3121/9)^(1/2)+59/3)/20}

x in { (59/3-(3121/9)^(1/2))/20, ((3121/9)^(1/2)+59/3)/20 }

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