1=12x+12/x-5x-30/x

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Solution for 1=12x+12/x-5x-30/x equation:


D( x )

x = 0

x = 0

x = 0

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

1 = 12*x-(5*x)+12/x-(30/x) // - 12*x-(5*x)+12/x-(30/x)

5*x-(12*x)-(12/x)+30/x+1 = 0

5*x-12*x-12*x^-1+30/x+1 = 0

18*x^-1-7*x^1+1*x^0 = 0

(1*x^1-7*x^2+18*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^1-7*x^2+18*x^0) = 0

x^1

x-7*x^2+18 = 0

x-7*x^2+18 = 0

DELTA = 1^2-(-7*4*18)

DELTA = 505

DELTA > 0

x = (505^(1/2)-1)/(-7*2) or x = (-505^(1/2)-1)/(-7*2)

x = (505^(1/2)-1)/(-14) or x = (505^(1/2)+1)/14

x in { (505^(1/2)-1)/(-14), (505^(1/2)+1)/14}

x in { (505^(1/2)-1)/(-14), (505^(1/2)+1)/14 }

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