(4x^2+26x+28)/(x-5)

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Solution for (4x^2+26x+28)/(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)

(4*x^2+26*x+28)/(x-5) = 0

4*x^2+26*x+28 = 0

2*(2*x^2+13*x+14) = 0

2*x^2+13*x+14 = 0

DELTA = 13^2-(2*4*14)

DELTA = 57

DELTA > 0

x = (57^(1/2)-13)/(2*2) or x = (-57^(1/2)-13)/(2*2)

x = (57^(1/2)-13)/4 or x = (-(57^(1/2)+13))/4

2*(x+(57^(1/2)+13)/4)*(x-((57^(1/2)-13)/4)) = 0

(2*(x+(57^(1/2)+13)/4)*(x-((57^(1/2)-13)/4)))/(x-5) = 0

( x+(57^(1/2)+13)/4 )

x+(57^(1/2)+13)/4 = 0 // - (57^(1/2)+13)/4

x = -((57^(1/2)+13)/4)

( x-((57^(1/2)-13)/4) )

x-((57^(1/2)-13)/4) = 0 // + (57^(1/2)-13)/4

x = (57^(1/2)-13)/4

x in { -((57^(1/2)+13)/4), (57^(1/2)-13)/4 }

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