(6x^2-3x-10)/(x-8)

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Solution for (6x^2-3x-10)/(x-8) equation: 


D( x )

x-8 = 0

x-8 = 0

x-8 = 0

x-8 = 0 // + 8

x = 8

x in (-oo:8) U (8:+oo)

(6*x^2-(3*x)-10)/(x-8) = 0

(6*x^2-3*x-10)/(x-8) = 0

6*x^2-3*x-10 = 0

6*x^2-3*x-10 = 0

DELTA = (-3)^2-(-10*4*6)

DELTA = 249

DELTA > 0

x = (249^(1/2)+3)/(2*6) or x = (3-249^(1/2))/(2*6)

x = (249^(1/2)+3)/12 or x = (3-249^(1/2))/12

(x-((3-249^(1/2))/12))*(x-((249^(1/2)+3)/12)) = 0

((x-((3-249^(1/2))/12))*(x-((249^(1/2)+3)/12)))/(x-8) = 0

( x-((249^(1/2)+3)/12) )

x-((249^(1/2)+3)/12) = 0 // + (249^(1/2)+3)/12

x = (249^(1/2)+3)/12

( x-((3-249^(1/2))/12) )

x-((3-249^(1/2))/12) = 0 // + (3-249^(1/2))/12

x = (3-249^(1/2))/12

x in { (249^(1/2)+3)/12, (3-249^(1/2))/12 }

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