(15/x^2)+(11/x)=56

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Solution for (15/x^2)+(11/x)=56 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)

11/x+15/(x^2) = 56 // - 56

11/x+15/(x^2)-56 = 0

11*x^-1+15*x^-2-56 = 0

t_1 = x^-1

15*t_1^2+11*t_1^1-56 = 0

15*t_1^2+11*t_1-56 = 0

DELTA = 11^2-(-56*4*15)

DELTA = 3481

DELTA > 0

t_1 = (3481^(1/2)-11)/(2*15) or t_1 = (-3481^(1/2)-11)/(2*15)

t_1 = 8/5 or t_1 = -7/3

t_1 = -7/3

x^-1+7/3 = 0

1*x^-1 = -7/3 // : 1

x^-1 = -7/3

-1 < 0

1/(x^1) = -7/3 // * x^1

1 = -7/3*x^1 // : -7/3

-3/7 = x^1

x = -3/7

t_1 = 8/5

x^-1-8/5 = 0

1*x^-1 = 8/5 // : 1

x^-1 = 8/5

-1 < 0

1/(x^1) = 8/5 // * x^1

1 = 8/5*x^1 // : 8/5

5/8 = x^1

x = 5/8

x in { -3/7, 5/8 }

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