x-6/x=8/3

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Solution for x-6/x=8/3 equation:


D( x )

x = 0

x = 0

x = 0

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

x-(6/x) = 8/3 // - 8/3

x-(6/x)-(8/3) = 0

x-6*x^-1-8/3 = 0

1*x^1-6*x^-1-8/3*x^0 = 0

(1*x^2-8/3*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-8/3*x^1-6*x^0) = 0

x^1

x^2+(-8/3)*x-6 = 0

x^2+(-8/3)*x-6 = 0

DELTA = (-8/3)^2-(-6*1*4)

DELTA = 280/9

DELTA > 0

x = ((280/9)^(1/2)-(-8/3))/(1*2) or x = (-(-8/3)-(280/9)^(1/2))/(1*2)

x = ((280/9)^(1/2)+8/3)/2 or x = (8/3-(280/9)^(1/2))/2

x in { (8/3-(280/9)^(1/2))/2, ((280/9)^(1/2)+8/3)/2}

x in { (8/3-(280/9)^(1/2))/2, ((280/9)^(1/2)+8/3)/2 }

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