1-(14/x)+(48/x^2)=0

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Solution for 1-(14/x)+(48/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)

48/(x^2)-(14/x)+1 = 0

48/(x^2)-14*x^-1+1 = 0

48*x^-2-14*x^-1+1 = 0

t_1 = x^-1

48*t_1^2-14*t_1^1+1 = 0

48*t_1^2-14*t_1+1 = 0

DELTA = (-14)^2-(1*4*48)

DELTA = 4

DELTA > 0

t_1 = (4^(1/2)+14)/(2*48) or t_1 = (14-4^(1/2))/(2*48)

t_1 = 1/6 or t_1 = 1/8

t_1 = 1/8

x^-1-1/8 = 0

1*x^-1 = 1/8 // : 1

x^-1 = 1/8

-1 < 0

1/(x^1) = 1/8 // * x^1

1 = 1/8*x^1 // : 1/8

8 = x^1

x = 8

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 { 8, 6 }

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