(x^2+6x-2)/(x+9)

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Solution for (x^2+6x-2)/(x+9) equation: 


D( x )

x+9 = 0

x+9 = 0

x+9 = 0

x+9 = 0 // - 9

x = -9

x in (-oo:-9) U (-9:+oo)

(x^2+6*x-2)/(x+9) = 0

x^2+6*x-2 = 0

x^2+6*x-2 = 0

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

DELTA = 44

DELTA > 0

x = (44^(1/2)-6)/(1*2) or x = (-44^(1/2)-6)/(1*2)

x = (2*11^(1/2)-6)/2 or x = (-2*11^(1/2)-6)/2

(x-((-2*11^(1/2)-6)/2))*(x-((2*11^(1/2)-6)/2)) = 0

((x-((-2*11^(1/2)-6)/2))*(x-((2*11^(1/2)-6)/2)))/(x+9) = 0

( x-((-2*11^(1/2)-6)/2) )

x-((-2*11^(1/2)-6)/2) = 0 // + (-2*11^(1/2)-6)/2

x = (-2*11^(1/2)-6)/2

( x-((2*11^(1/2)-6)/2) )

x-((2*11^(1/2)-6)/2) = 0 // + (2*11^(1/2)-6)/2

x = (2*11^(1/2)-6)/2

x in { (-2*11^(1/2)-6)/2, (2*11^(1/2)-6)/2 }

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