(2x^2+11x-14)/(2x+5)

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Solution for (2x^2+11x-14)/(2x+5) equation:


D( x )

2*x+5 = 0

2*x+5 = 0

2*x+5 = 0

2*x+5 = 0 // - 5

2*x = -5 // : 2

x = -5/2

x in (-oo:-5/2) U (-5/2:+oo)

(2*x^2+11*x-14)/(2*x+5) = 0

2*x^2+11*x-14 = 0

2*x^2+11*x-14 = 0

DELTA = 11^2-(-14*2*4)

DELTA = 233

DELTA > 0

x = (233^(1/2)-11)/(2*2) or x = (-233^(1/2)-11)/(2*2)

x = (233^(1/2)-11)/4 or x = (-(233^(1/2)+11))/4

(x+(233^(1/2)+11)/4)*(x-((233^(1/2)-11)/4)) = 0

((x+(233^(1/2)+11)/4)*(x-((233^(1/2)-11)/4)))/(2*x+5) = 0

( x+(233^(1/2)+11)/4 )

x+(233^(1/2)+11)/4 = 0 // - (233^(1/2)+11)/4

x = -((233^(1/2)+11)/4)

( x-((233^(1/2)-11)/4) )

x-((233^(1/2)-11)/4) = 0 // + (233^(1/2)-11)/4

x = (233^(1/2)-11)/4

x in { -((233^(1/2)+11)/4), (233^(1/2)-11)/4 }

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