(2x^2+15x+21)/(x+5)

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Solution for (2x^2+15x+21)/(x+5) equation: 


D( x )

x+5 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

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

(2*x^2+15*x+21)/(x+5) = 0

2*x^2+15*x+21 = 0

2*x^2+15*x+21 = 0

DELTA = 15^2-(2*4*21)

DELTA = 57

DELTA > 0

x = (57^(1/2)-15)/(2*2) or x = (-57^(1/2)-15)/(2*2)

x = (57^(1/2)-15)/4 or x = (-(57^(1/2)+15))/4

(x+(57^(1/2)+15)/4)*(x-((57^(1/2)-15)/4)) = 0

((x+(57^(1/2)+15)/4)*(x-((57^(1/2)-15)/4)))/(x+5) = 0

( x+(57^(1/2)+15)/4 )

x+(57^(1/2)+15)/4 = 0 // - (57^(1/2)+15)/4

x = -((57^(1/2)+15)/4)

( x-((57^(1/2)-15)/4) )

x-((57^(1/2)-15)/4) = 0 // + (57^(1/2)-15)/4

x = (57^(1/2)-15)/4

x in { -((57^(1/2)+15)/4), (57^(1/2)-15)/4 }

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