3x-54/x=-9

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Solution for 3x-54/x=-9 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(54/x) = -9 // + 9

3*x-(54/x)+9 = 0

3*x-54*x^-1+9 = 0

3*x^1-54*x^-1+9*x^0 = 0

(3*x^2+9*x^1-54*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2+9*x^1-54*x^0) = 0

x^1

3*x^2+9*x-54 = 0

3*x^2+9*x-54 = 0

DELTA = 9^2-(-54*3*4)

DELTA = 729

DELTA > 0

x = (729^(1/2)-9)/(2*3) or x = (-729^(1/2)-9)/(2*3)

x = 3 or x = -6

x in { -6, 3} 

x in { -6, 3 }

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