1-2/x-24/x^2=0

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Solution for 1-2/x-24/x^2=0 equation:


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

1-(2/x)-(24/(x^2)) = 0

1-2*x^-1-24*x^-2 = 0

t_1 = x^-1

1-24*t_1^2-2*t_1^1 = 0

1-24*t_1^2-2*t_1 = 0

DELTA = (-2)^2-(-24*1*4)

DELTA = 100

DELTA > 0

t_1 = (100^(1/2)+2)/(-24*2) or t_1 = (2-100^(1/2))/(-24*2)

t_1 = -1/4 or t_1 = 1/6

t_1 = -1/4

x^-1+1/4 = 0

1*x^-1 = -1/4 // : 1

x^-1 = -1/4

-1 < 0

1/(x^1) = -1/4 // * x^1

1 = -1/4*x^1 // : -1/4

-4 = x^1

x = -4

t_1 = 1/6

x^-1-1/6 = 0

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

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

x in { -4, 6 }

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