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

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Solution for (2x^2-5x-5)/(x-3) equation:


D( x )

x-3 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

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

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

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

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

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

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

DELTA = 65

DELTA > 0

x = (65^(1/2)+5)/(2*2) or x = (5-65^(1/2))/(2*2)

x = (65^(1/2)+5)/4 or x = (5-65^(1/2))/4

(x-((5-65^(1/2))/4))*(x-((65^(1/2)+5)/4)) = 0

((x-((5-65^(1/2))/4))*(x-((65^(1/2)+5)/4)))/(x-3) = 0

( x-((5-65^(1/2))/4) )

x-((5-65^(1/2))/4) = 0 // + (5-65^(1/2))/4

x = (5-65^(1/2))/4

( x-((65^(1/2)+5)/4) )

x-((65^(1/2)+5)/4) = 0 // + (65^(1/2)+5)/4

x = (65^(1/2)+5)/4

x in { (5-65^(1/2))/4, (65^(1/2)+5)/4 }

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