x^2+12(x+1/X)+38

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Solution for x^2+12(x+1/X)+38 equation: 


x in (-oo:+oo)

12*(1/X+x)+x^2+38 = 0

12*(X^-1+x)+x^2+38 = 0

12*(X^-1+x)+x^2+38 = 0

12*X^-1+x^2+12*x+38 = 0

12*X^-1+x^2+12*x+38 = 0

12*X^-1+x^2+12*x+38 = 0

DELTA = 12^2-(1*4*(12*X^-1+38))

DELTA = 144-4*(12*X^-1+38)

144-4*(12*X^-1+38) = 0

144-4*(12*X^-1+38) = 0

-48*X^-1-8 = 0

-48*X^-1-8 = 0

-48*X^-1 = 8 // : -48

X^-1 = -1/6

-1 < 0

1/(X^1) = -1/6 // * X^1

1 = -1/6*X^1 // : -1/6

-6 = X^1

X = -6

DELTA = 0  <=>  t_3 = -6

x = -12/(1*2) i X = -6

x = -6 i X = -6

( x = ((144-4*(12*X^-1+38))^(1/2)-12)/(1*2) or x = (-(144-4*(12*X^-1+38))^(1/2)-12)/(1*2) ) i X > -6

( x = ((144-4*(12*X^-1+38))^(1/2)-12)/2 or x = (-((144-4*(12*X^-1+38))^(1/2)+12))/2 ) i X > -6

X+6 > 0

X+6 > 0 // - 6

X > -6

x in { -6, ((144-4*(12*X^-1+38))^(1/2)-12)/2, (-((144-4*(12*X^-1+38))^(1/2)+12))/2 }

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