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

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Solution for (x^2)/(x+6)=1 equation: 


D( x )

x+6 = 0

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

x in (-oo:-6) U (-6:+oo)

(x^2)/(x+6) = 1 // - 1

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

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

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

x^2-x-6 = 0

x^2-x-6 = 0

x^2-x-6 = 0

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

DELTA = 25

DELTA > 0

x = (25^(1/2)+1)/(1*2) or x = (1-25^(1/2))/(1*2)

x = 3 or x = -2

(x+2)*(x-3) = 0

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

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

(x+2)*(x-3) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x-3 )

x-3 = 0 // + 3

x = 3

x in { -2, 3 }

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