10/x^2+3/x=1

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Solution for 10/x^2+3/x=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)

3/x+10/(x^2) = 1 // - 1

3/x+10/(x^2)-1 = 0

3*x^-1+10*x^-2-1 = 0

t_1 = x^-1

10*t_1^2+3*t_1^1-1 = 0

10*t_1^2+3*t_1-1 = 0

DELTA = 3^2-(-1*4*10)

DELTA = 49

DELTA > 0

t_1 = (49^(1/2)-3)/(2*10) or t_1 = (-49^(1/2)-3)/(2*10)

t_1 = 1/5 or t_1 = -1/2

t_1 = -1/2

x^-1+1/2 = 0

1*x^-1 = -1/2 // : 1

x^-1 = -1/2

-1 < 0

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

1 = -1/2*x^1 // : -1/2

-2 = x^1

x = -2

t_1 = 1/5

x^-1-1/5 = 0

1*x^-1 = 1/5 // : 1

x^-1 = 1/5

-1 < 0

1/(x^1) = 1/5 // * x^1

1 = 1/5*x^1 // : 1/5

5 = x^1

x = 5

x in { -2, 5 }

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