15/x2+1/x=28

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Solution for 15/x2+1/x=28 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+15/(x^2) = 28 // - 28

1/x+15/(x^2)-28 = 0

x^-1+15*x^-2-28 = 0

t_1 = x^-1

15*t_1^2+1*t_1^1-28 = 0

15*t_1^2+t_1-28 = 0

DELTA = 1^2-(-28*4*15)

DELTA = 1681

DELTA > 0

t_1 = (1681^(1/2)-1)/(2*15) or t_1 = (-1681^(1/2)-1)/(2*15)

t_1 = 4/3 or t_1 = -7/5

t_1 = -7/5

x^-1+7/5 = 0

1*x^-1 = -7/5 // : 1

x^-1 = -7/5

-1 < 0

1/(x^1) = -7/5 // * x^1

1 = -7/5*x^1 // : -7/5

-5/7 = x^1

x = -5/7

t_1 = 4/3

x^-1-4/3 = 0

1*x^-1 = 4/3 // : 1

x^-1 = 4/3

-1 < 0

1/(x^1) = 4/3 // * x^1

1 = 4/3*x^1 // : 4/3

3/4 = x^1

x = 3/4

x in { -5/7, 3/4 }

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