1-7/x-30/x^2

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Solution for 1-7/x-30/x^2 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-(7/x)-(30/(x^2)) = 0

1-7*x^-1-30*x^-2 = 0

t_1 = x^-1

1-30*t_1^2-7*t_1^1 = 0

1-30*t_1^2-7*t_1 = 0

DELTA = (-7)^2-(-30*1*4)

DELTA = 169

DELTA > 0

t_1 = (169^(1/2)+7)/(-30*2) or t_1 = (7-169^(1/2))/(-30*2)

t_1 = -1/3 or t_1 = 1/10

t_1 = -1/3

x^-1+1/3 = 0

1*x^-1 = -1/3 // : 1

x^-1 = -1/3

-1 < 0

1/(x^1) = -1/3 // * x^1

1 = -1/3*x^1 // : -1/3

-3 = x^1

x = -3

t_1 = 1/10

x^-1-1/10 = 0

1*x^-1 = 1/10 // : 1

x^-1 = 1/10

-1 < 0

1/(x^1) = 1/10 // * x^1

1 = 1/10*x^1 // : 1/10

10 = x^1

x = 10

x in { -3, 10 }

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