3/x+5/x2

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Solution for 3/x+5/x2 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+5/(x^2) = 0

3*x^-1+5*x^-2 = 0

t_1 = x^-1

5*t_1^2+3*t_1^1 = 0

5*t_1^2+3*t_1 = 0

DELTA = 3^2-(0*4*5)

DELTA = 9

DELTA > 0

t_1 = (9^(1/2)-3)/(2*5) or t_1 = (-9^(1/2)-3)/(2*5)

t_1 = 0 or t_1 = -3/5

t_1 = -3/5

x^-1+3/5 = 0

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

x^-1 = -3/5

-1 < 0

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

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

-5/3 = x^1

x = -5/3

t_1 = 0

x^-1+0 = 0

x^-1 = 0

1*x^-1 = 0 // : 1

x^-1 = 0

x naleu017Cy do O

x = -5/3

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