(4x^2-11x-25)/(x-6)

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Solution for (4x^2-11x-25)/(x-6) equation: 


D( x )

x-6 = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

x in (-oo:6) U (6:+oo)

(4*x^2-(11*x)-25)/(x-6) = 0

(4*x^2-11*x-25)/(x-6) = 0

4*x^2-11*x-25 = 0

4*x^2-11*x-25 = 0

DELTA = (-11)^2-(-25*4*4)

DELTA = 521

DELTA > 0

x = (521^(1/2)+11)/(2*4) or x = (11-521^(1/2))/(2*4)

x = (521^(1/2)+11)/8 or x = (11-521^(1/2))/8

(x-((11-521^(1/2))/8))*(x-((521^(1/2)+11)/8)) = 0

((x-((11-521^(1/2))/8))*(x-((521^(1/2)+11)/8)))/(x-6) = 0

( x-((11-521^(1/2))/8) )

x-((11-521^(1/2))/8) = 0 // + (11-521^(1/2))/8

x = (11-521^(1/2))/8

( x-((521^(1/2)+11)/8) )

x-((521^(1/2)+11)/8) = 0 // + (521^(1/2)+11)/8

x = (521^(1/2)+11)/8

x in { (11-521^(1/2))/8, (521^(1/2)+11)/8 }

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