(15/x^2)+(7/x)-2=0

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Solution for (15/x^2)+(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)

7/x+15/(x^2)-2 = 0

7*x^-1+15*x^-2-2 = 0

t_1 = x^-1

15*t_1^2+7*t_1^1-2 = 0

15*t_1^2+7*t_1-2 = 0

DELTA = 7^2-(-2*4*15)

DELTA = 169

DELTA > 0

t_1 = (169^(1/2)-7)/(2*15) or t_1 = (-169^(1/2)-7)/(2*15)

t_1 = 1/5 or t_1 = -2/3

t_1 = -2/3

x^-1+2/3 = 0

1*x^-1 = -2/3 // : 1

x^-1 = -2/3

-1 < 0

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

1 = -2/3*x^1 // : -2/3

-3/2 = x^1

x = -3/2

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 { -3/2, 5 }

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