(x^2-2x-6)/x^2=0

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Solution for (x^2-2x-6)/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)

(x^2-(2*x)-6)/(x^2) = 0

(x^2-2*x-6)/(x^2) = 0

x^2-2*x-6 = 0

x^2-2*x-6 = 0

DELTA = (-2)^2-(-6*1*4)

DELTA = 28

DELTA > 0

x = (28^(1/2)+2)/(1*2) or x = (2-28^(1/2))/(1*2)

x = (2*7^(1/2)+2)/2 or x = (2-2*7^(1/2))/2

(x-((2-2*7^(1/2))/2))*(x-((2*7^(1/2)+2)/2)) = 0

((x-((2-2*7^(1/2))/2))*(x-((2*7^(1/2)+2)/2)))/(x^2) = 0

( x-((2*7^(1/2)+2)/2) )

x-((2*7^(1/2)+2)/2) = 0 // + (2*7^(1/2)+2)/2

x = (2*7^(1/2)+2)/2

( x-((2-2*7^(1/2))/2) )

x-((2-2*7^(1/2))/2) = 0 // + (2-2*7^(1/2))/2

x = (2-2*7^(1/2))/2

x in { (2*7^(1/2)+2)/2, (2-2*7^(1/2))/2 }

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