(4x^2-7x-4)/(x-4)

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Solution for (4x^2-7x-4)/(x-4) equation: 


D( x )

x-4 = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:4) U (4:+oo)

(4*x^2-(7*x)-4)/(x-4) = 0

(4*x^2-7*x-4)/(x-4) = 0

4*x^2-7*x-4 = 0

4*x^2-7*x-4 = 0

DELTA = (-7)^2-(-4*4*4)

DELTA = 113

DELTA > 0

x = (113^(1/2)+7)/(2*4) or x = (7-113^(1/2))/(2*4)

x = (113^(1/2)+7)/8 or x = (7-113^(1/2))/8

(x-((7-113^(1/2))/8))*(x-((113^(1/2)+7)/8)) = 0

((x-((7-113^(1/2))/8))*(x-((113^(1/2)+7)/8)))/(x-4) = 0

( x-((113^(1/2)+7)/8) )

x-((113^(1/2)+7)/8) = 0 // + (113^(1/2)+7)/8

x = (113^(1/2)+7)/8

( x-((7-113^(1/2))/8) )

x-((7-113^(1/2))/8) = 0 // + (7-113^(1/2))/8

x = (7-113^(1/2))/8

x in { (113^(1/2)+7)/8, (7-113^(1/2))/8 }

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