3/(x^2)-44/x=15

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Solution for 3/(x^2)-44/x=15 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^2)-(44/x) = 15 // - 15

3/(x^2)-(44/x)-15 = 0

3/(x^2)-44*x^-1-15 = 0

3*x^-2-44*x^-1-15 = 0

t_1 = x^-1

3*t_1^2-44*t_1^1-15 = 0

3*t_1^2-44*t_1-15 = 0

DELTA = (-44)^2-(-15*3*4)

DELTA = 2116

DELTA > 0

t_1 = (2116^(1/2)+44)/(2*3) or t_1 = (44-2116^(1/2))/(2*3)

t_1 = 15 or t_1 = -1/3

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 = 15

x^-1-15 = 0

1*x^-1 = 15 // : 1

x^-1 = 15

-1 < 0

1/(x^1) = 15 // * x^1

1 = 15*x^1 // : 15

1/15 = x^1

x = 1/15

x in { -3, 1/15 }

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