(2x^2-x-10)/(x-3)

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Solution for (2x^2-x-10)/(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-x-10)/(x-3) = 0

2*x^2-x-10 = 0

2*x^2-x-10 = 0

DELTA = (-1)^2-(-10*2*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)+1)/(2*2) or x = (1-81^(1/2))/(2*2)

x = 5/2 or x = -2

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

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

( x+2 )

x+2 = 0 // - 2

x = -2

( x-5/2 )

x-5/2 = 0 // + 5/2

x = 5/2

x in { -2, 5/2 }

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