(x^2+8x+9)/(x-2)

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Solution for (x^2+8x+9)/(x-2) equation: 


D( x )

x-2 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x in (-oo:2) U (2:+oo)

(x^2+8*x+9)/(x-2) = 0

x^2+8*x+9 = 0

x^2+8*x+9 = 0

DELTA = 8^2-(1*4*9)

DELTA = 28

DELTA > 0

x = (28^(1/2)-8)/(1*2) or x = (-28^(1/2)-8)/(1*2)

x = (2*7^(1/2)-8)/2 or x = (-2*7^(1/2)-8)/2

(x-((-2*7^(1/2)-8)/2))*(x-((2*7^(1/2)-8)/2)) = 0

((x-((-2*7^(1/2)-8)/2))*(x-((2*7^(1/2)-8)/2)))/(x-2) = 0

( x-((-2*7^(1/2)-8)/2) )

x-((-2*7^(1/2)-8)/2) = 0 // + (-2*7^(1/2)-8)/2

x = (-2*7^(1/2)-8)/2

( x-((2*7^(1/2)-8)/2) )

x-((2*7^(1/2)-8)/2) = 0 // + (2*7^(1/2)-8)/2

x = (2*7^(1/2)-8)/2

x in { (-2*7^(1/2)-8)/2, (2*7^(1/2)-8)/2 }

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