(x^2-2x-15)/(x^2+x-6)

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Solution for (x^2-2x-15)/(x^2+x-6) equation: 


D( x )

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

x = 2 or x = -3

x in (-oo:-3) U (-3:2) U (2:+oo)

(x^2-(2*x)-15)/(x^2+x-6) = 0

(x^2-2*x-15)/(x^2+x-6) = 0

x^2-2*x-15 = 0

x^2-2*x-15 = 0

DELTA = (-2)^2-(-15*1*4)

DELTA = 64

DELTA > 0

x = (64^(1/2)+2)/(1*2) or x = (2-64^(1/2))/(1*2)

x = 5 or x = -3

(x+3)*(x-5) = 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 = (-25^(1/2)-1)/(1*2)

x = 2 or x = -3

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

((x+3)*(x-5))/((x+3)*(x-2)) = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x-5 )

x-5 = 0 // + 5

x = 5

x in { -3} 

x = 5

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