(x-(3/x))=(26/3)

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Solution for (x-(3/x))=(26/3) equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(3/x) = 26/3 // - 26/3

x-(3/x)-(26/3) = 0

x-3*x^-1-26/3 = 0

1*x^1-3*x^-1-26/3*x^0 = 0

(1*x^2-26/3*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-26/3*x^1-3*x^0) = 0

x^1

x^2+(-26/3)*x-3 = 0

x^2+(-26/3)*x-3 = 0

DELTA = (-26/3)^2-(-3*1*4)

DELTA = 784/9

DELTA > 0

x = ((784/9)^(1/2)-(-26/3))/(1*2) or x = (-(-26/3)-(784/9)^(1/2))/(1*2)

x = 9 or x = -1/3

x in { -1/3, 9} 

x in { -1/3, 9 }

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