15/x^2-22/x-5

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Solution for 15/x^2-22/x-5 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)

15/(x^2)-(22/x)-5 = 0

15/(x^2)-22*x^-1-5 = 0

15*x^-2-22*x^-1-5 = 0

t_1 = x^-1

15*t_1^2-22*t_1^1-5 = 0

15*t_1^2-22*t_1-5 = 0

DELTA = (-22)^2-(-5*4*15)

DELTA = 784

DELTA > 0

t_1 = (784^(1/2)+22)/(2*15) or t_1 = (22-784^(1/2))/(2*15)

t_1 = 5/3 or t_1 = -1/5

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

t_1 = 5/3

x^-1-5/3 = 0

1*x^-1 = 5/3 // : 1

x^-1 = 5/3

-1 < 0

1/(x^1) = 5/3 // * x^1

1 = 5/3*x^1 // : 5/3

3/5 = x^1

x = 3/5

x in { -5, 3/5 }

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