(x)/x^2+12x+35

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Solution for (x)/x^2+12x+35 equation:


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

12*x+x/(x^2)+35 = 0

12*x^1+1*x^-1+35*x^0 = 0

(12*x^2+35*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(12*x^2+35*x^1+1*x^0) = 0

x^1

12*x^2+35*x+1 = 0

12*x^2+35*x+1 = 0

DELTA = 35^2-(1*4*12)

DELTA = 1177

DELTA > 0

x = (1177^(1/2)-35)/(2*12) or x = (-1177^(1/2)-35)/(2*12)

x = (1177^(1/2)-35)/24 or x = (-(1177^(1/2)+35))/24

x in { (-(1177^(1/2)+35))/24, (1177^(1/2)-35)/24}

x in { (-(1177^(1/2)+35))/24, (1177^(1/2)-35)/24 }

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