1-3/x-7/x^2=0

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Solution for 1-3/x-7/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-(3/x)-(7/(x^2)) = 0

1-3*x^-1-7*x^-2 = 0

t_1 = x^-1

1-7*t_1^2-3*t_1^1 = 0

1-7*t_1^2-3*t_1 = 0

DELTA = (-3)^2-(-7*1*4)

DELTA = 37

DELTA > 0

t_1 = (37^(1/2)+3)/(-7*2) or t_1 = (3-37^(1/2))/(-7*2)

t_1 = (37^(1/2)+3)/(-14) or t_1 = (3-37^(1/2))/(-14)

t_1 = (37^(1/2)+3)/(-14)

x^-1-((37^(1/2)+3)/(-14)) = 0

1*x^-1 = (37^(1/2)+3)/(-14) // : 1

x^-1 = (37^(1/2)+3)/(-14)

-1 < 0

1/(x^1) = (37^(1/2)+3)/(-14) // * x^1

1 = ((37^(1/2)+3)/(-14))*x^1 // : (37^(1/2)+3)/(-14)

-14*(37^(1/2)+3)^-1 = x^1

x = -14*(37^(1/2)+3)^-1

t_1 = (3-37^(1/2))/(-14)

x^-1-((3-37^(1/2))/(-14)) = 0

1*x^-1 = (3-37^(1/2))/(-14) // : 1

x^-1 = (3-37^(1/2))/(-14)

-1 < 0

1/(x^1) = (3-37^(1/2))/(-14) // * x^1

1 = ((3-37^(1/2))/(-14))*x^1 // : (3-37^(1/2))/(-14)

-14*(3-37^(1/2))^-1 = x^1

x = -14*(3-37^(1/2))^-1

x in { -14*(37^(1/2)+3)^-1, -14*(3-37^(1/2))^-1 }

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