(3x^2-5x-5)/(x-2)=0

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Solution for (3x^2-5x-5)/(x-2)=0 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)

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

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

3*x^2-5*x-5 = 0

3*x^2-5*x-5 = 0

DELTA = (-5)^2-(-5*3*4)

DELTA = 85

DELTA > 0

x = (85^(1/2)+5)/(2*3) or x = (5-85^(1/2))/(2*3)

x = (85^(1/2)+5)/6 or x = (5-85^(1/2))/6

(x-((5-85^(1/2))/6))*(x-((85^(1/2)+5)/6)) = 0

((x-((5-85^(1/2))/6))*(x-((85^(1/2)+5)/6)))/(x-2) = 0

( x-((5-85^(1/2))/6) )

x-((5-85^(1/2))/6) = 0 // + (5-85^(1/2))/6

x = (5-85^(1/2))/6

( x-((85^(1/2)+5)/6) )

x-((85^(1/2)+5)/6) = 0 // + (85^(1/2)+5)/6

x = (85^(1/2)+5)/6

x in { (5-85^(1/2))/6, (85^(1/2)+5)/6 }

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