2x-12-98/x^2=0

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Solution for 2x-12-98/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-(98/(x^2))-12 = 0

2*x-98*x^-2-12 = 0

2*x^1-98*x^-2-12*x^0 = 0

(2*x^3-12*x^2-98*x^0)/(x^2) = 0 // * x^4

x^2*(2*x^3-12*x^2-98*x^0) = 0

x^2

2*x^3-12*x^2-98 = 0

{ 1, -1, 2, -2, 7, -7, 14, -14, 49, -49, 98, -98 }

1

x = 1

2*x^3-12*x^2-98 = -108

1

-1

x = -1

2*x^3-12*x^2-98 = -112

-1

2

x = 2

2*x^3-12*x^2-98 = -130

2

-2

x = -2

2*x^3-12*x^2-98 = -162

-2

7

x = 7

2*x^3-12*x^2-98 = 0

7

x-7

2*x^2+2*x+14

2*x^3-12*x^2-98

x-7

14*x^2-2*x^3

2*x^2-98

14*x-2*x^2

14*x-98

98-14*x

0

2*x^2+2*x+14 = 0

DELTA = 2^2-(2*4*14)

DELTA = -108

DELTA < 0

x in { 7}

x = 7

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