(x^3-8)/(2x^2-x-6)

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Solution for (x^3-8)/(2x^2-x-6) equation: 


D( x )

2*x^2-x-6 = 0

2*x^2-x-6 = 0

2*x^2-x-6 = 0

2*x^2-x-6 = 0

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

DELTA = 49

DELTA > 0

x = (49^(1/2)+1)/(2*2) or x = (1-49^(1/2))/(2*2)

x = 2 or x = -3/2

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

(x^3-8)/(2*x^2-x-6) = 0

2*x^2-x-6 = 0

2*x^2-x-6 = 0

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

DELTA = 49

DELTA > 0

x = (49^(1/2)+1)/(2*2) or x = (1-49^(1/2))/(2*2)

x = 2 or x = -3/2

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

(x^3-8)/((x+3/2)*(x-2)) = 0

1*x^3 = 8 // : 1

x^3 = 8

x^3 = 8 // ^ 1/3

x = 2

x in { 2} 

x belongs to the empty set

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