(x^2-6x+2)/(x+3)

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Solution for (x^2-6x+2)/(x+3) equation: 


D( x )

x+3 = 0

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x in (-oo:-3) U (-3:+oo)

(x^2-(6*x)+2)/(x+3) = 0

(x^2-6*x+2)/(x+3) = 0

x^2-6*x+2 = 0

x^2-6*x+2 = 0

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

DELTA = 28

DELTA > 0

x = (28^(1/2)+6)/(1*2) or x = (6-28^(1/2))/(1*2)

x = (2*7^(1/2)+6)/2 or x = (6-2*7^(1/2))/2

(x-((6-2*7^(1/2))/2))*(x-((2*7^(1/2)+6)/2)) = 0

((x-((6-2*7^(1/2))/2))*(x-((2*7^(1/2)+6)/2)))/(x+3) = 0

( x-((2*7^(1/2)+6)/2) )

x-((2*7^(1/2)+6)/2) = 0 // + (2*7^(1/2)+6)/2

x = (2*7^(1/2)+6)/2

( x-((6-2*7^(1/2))/2) )

x-((6-2*7^(1/2))/2) = 0 // + (6-2*7^(1/2))/2

x = (6-2*7^(1/2))/2

x in { (2*7^(1/2)+6)/2, (6-2*7^(1/2))/2 }

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