2x-9-25/x^2=0

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Solution for 2x-9-25/x^2=0 equation:


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

2*x-(25/(x^2))-9 = 0

2*x-25*x^-2-9 = 0

2*x^1-25*x^-2-9*x^0 = 0

(2*x^3-9*x^2-25*x^0)/(x^2) = 0 // * x^4

x^2*(2*x^3-9*x^2-25*x^0) = 0

x^2

2*x^3-9*x^2-25 = 0

{ 1, -1, 5, -5, 25, -25 }

1

x = 1

2*x^3-9*x^2-25 = -32

1

-1

x = -1

2*x^3-9*x^2-25 = -36

-1

5

x = 5

2*x^3-9*x^2-25 = 0

5

x-5

2*x^2+x+5

2*x^3-9*x^2-25

x-5

10*x^2-2*x^3

x^2-25

5*x-x^2

5*x-25

25-5*x

0

2*x^2+x+5 = 0

DELTA = 1^2-(2*4*5)

DELTA = -39

DELTA < 0

x in { 5}

x = 5

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