x-3/x=6/5

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Solution for x-3/x=6/5 equation:


D( x )

x = 0

x = 0

x = 0

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

x-(3/x) = 6/5 // - 6/5

x-(3/x)-(6/5) = 0

x-3*x^-1-6/5 = 0

1*x^1-3*x^-1-6/5*x^0 = 0

(1*x^2-6/5*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-6/5*x^1-3*x^0) = 0

x^1

x^2+(-6/5)*x-3 = 0

x^2+(-6/5)*x-3 = 0

DELTA = (-6/5)^2-(-3*1*4)

DELTA = 336/25

DELTA > 0

x = ((336/25)^(1/2)-(-6/5))/(1*2) or x = (-(-6/5)-(336/25)^(1/2))/(1*2)

x = ((336/25)^(1/2)+6/5)/2 or x = (6/5-(336/25)^(1/2))/2

x in { (6/5-(336/25)^(1/2))/2, ((336/25)^(1/2)+6/5)/2}

x in { (6/5-(336/25)^(1/2))/2, ((336/25)^(1/2)+6/5)/2 }

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