7/x^2-7x

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Solution for 7/x^2-7x 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)

7/(x^2)-(7*x) = 0

7/(x^2)-7*x = 0

7*x^-2-7*x^1 = 0

(7*x^0-7*x^3)/(x^2) = 0 // * x^4

x^2*(7*x^0-7*x^3) = 0

x^2

7-7*x^3 = 0

{ 1, -1, 7, -7 }

1

x = 1

7-7*x^3 = 0

1

x-1

-7*x^2-7*x-7

7-7*x^3

x-1

7*x^3-7*x^2

7-7*x^2

7*x^2-7*x

7-7*x

7*x-7

0

-7*x^2-7*x-7 = 0

DELTA = (-7)^2-(-7*(-7)*4)

DELTA = -147

DELTA < 0

x in { 1} 

x = 1

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