1/x+1,3/x^2-1

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Solution for 1/x+1,3/x^2-1 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/x+1.3/(x^2)-1 = 0

x^-1+1.3*x^-2-1 = 0

t_1 = x^-1

1.3*t_1^2+1*t_1^1-1 = 0

1.3*t_1^2+t_1-1 = 0

DELTA = 1^2-(-1*1.3*4)

DELTA = 6.2

DELTA > 0

t_1 = (6.2^(1/2)-1)/(1.3*2) or t_1 = (-6.2^(1/2)-1)/(1.3*2)

t_1 = 0.38461538*(6.2^(1/2)-1) or t_1 = -0.38461538*(6.2^(1/2)+1)

t_1 = -0.38461538*(6.2^(1/2)+1)

x^-1-(-0.38461538*(6.2^(1/2)+1)) = 0

x^-1+0.38461538*(6.2^(1/2)+1) = 0

1*x^-1 = -(0.38461538*(6.2^(1/2)+1)) // : 1

x^-1 = -0.38461538*(6.2^(1/2)+1)

-1 < 0

1/(x^1) = -0.38461538*(6.2^(1/2)+1) // * x^1

1 = -0.38461538*(6.2^(1/2)+1)*x^1 // : -0.38461538*(6.2^(1/2)+1)

-2.60000003*(6.2^(1/2)+1)^-1 = x^1

x = -2.60000003*(6.2^(1/2)+1)^-1

t_1 = 0.38461538*(6.2^(1/2)-1)

x^-1-(0.38461538*(6.2^(1/2)-1)) = 0

x^-1-0.38461538*(6.2^(1/2)-1) = 0

1*x^-1 = -(-0.38461538*(6.2^(1/2)-1)) // : 1

x^-1 = 0.38461538*(6.2^(1/2)-1)

-1 < 0

1/(x^1) = 0.38461538*(6.2^(1/2)-1) // * x^1

1 = 0.38461538*(6.2^(1/2)-1)*x^1 // : 0.38461538*(6.2^(1/2)-1)

2.60000003*(6.2^(1/2)-1)^-1 = x^1

x = 2.60000003*(6.2^(1/2)-1)^-1

x in { -2.60000003*(6.2^(1/2)+1)^-1, 2.60000003*(6.2^(1/2)-1)^-1 }

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