250/x^2-2x=0

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Solution for 250/x^2-2x=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)

250/(x^2)-(2*x) = 0

250/(x^2)-2*x = 0

250*x^-2-2*x^1 = 0

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

x^2*(250*x^0-2*x^3) = 0

x^2

250-2*x^3 = 0

{ 1, -1, 2, -2, 5, -5, 10, -10, 25, -25, 50, -50, 125, -125, 250, -250 }

1

x = 1

250-2*x^3 = 248

1

-1

x = -1

250-2*x^3 = 252

-1

2

x = 2

250-2*x^3 = 234

2

-2

x = -2

250-2*x^3 = 266

-2

5

x = 5

250-2*x^3 = 0

5

x-5

-2*x^2-10*x-50

250-2*x^3

x-5

2*x^3-10*x^2

250-10*x^2

10*x^2-50*x

250-50*x

50*x-250

0

-2*x^2-10*x-50 = 0

DELTA = (-10)^2-(-50*(-2)*4)

DELTA = -300

DELTA < 0

x in { 5}

x = 5

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