(2x^2+13x-8)/(x-1/2)

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Solution for (2x^2+13x-8)/(x-1/2) equation: 


D( x )

x-(1/2) = 0

x-(1/2) = 0

x-(1/2) = 0

x-1/2 = 0

x-1/2 = 0 // + 1/2

x = 1/2

x in (-oo:1/2) U (1/2:+oo)

(2*x^2+13*x-8)/(x-(1/2)) = 0

(2*x^2+13*x-8)/(x-1/2) = 0

2*x^2+13*x-8 = 0

2*x^2+13*x-8 = 0

DELTA = 13^2-(-8*2*4)

DELTA = 233

DELTA > 0

x = (233^(1/2)-13)/(2*2) or x = (-233^(1/2)-13)/(2*2)

x = (233^(1/2)-13)/4 or x = (-(233^(1/2)+13))/4

(x+(233^(1/2)+13)/4)*(x-((233^(1/2)-13)/4)) = 0

((x+(233^(1/2)+13)/4)*(x-((233^(1/2)-13)/4)))/(x-1/2) = 0

( x+(233^(1/2)+13)/4 )

x+(233^(1/2)+13)/4 = 0 // - (233^(1/2)+13)/4

x = -((233^(1/2)+13)/4)

( x-((233^(1/2)-13)/4) )

x-((233^(1/2)-13)/4) = 0 // + (233^(1/2)-13)/4

x = (233^(1/2)-13)/4

x in { -((233^(1/2)+13)/4), (233^(1/2)-13)/4 }

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