20x-160/x^2=0

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Solution for 20x-160/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)

20*x-(160/(x^2)) = 0

20*x-160*x^-2 = 0

20*x^1-160*x^-2 = 0

(20*x^3-160*x^0)/(x^2) = 0 // * x^4

x^2*(20*x^3-160*x^0) = 0

x^2

20*x^3-160 = 0

{ 1, -1, 2, -2, 4, -4, 5, -5, 8, -8, 10, -10, 16, -16, 20, -20, 32, -32, 40, -40, 80, -80, 160, -160 }

1

x = 1

20*x^3-160 = -140

1

-1

x = -1

20*x^3-160 = -180

-1

2

x = 2

20*x^3-160 = 0

2

x-2

20*x^2+40*x+80

20*x^3-160

x-2

40*x^2-20*x^3

40*x^2-160

80*x-40*x^2

80*x-160

160-80*x

0

20*x^2+40*x+80 = 0

DELTA = 40^2-(4*20*80)

DELTA = -4800

DELTA < 0

x in { 2}

x = 2

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