(X^2-8X-7)/(X-5)

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Solution for (X^2-8X-7)/(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)

(X^2-(8*X)-7)/(X-5) = 0

(X^2-8*X-7)/(X-5) = 0

X^2-8*X-7 = 0

X^2-8*X-7 = 0

DELTA = (-8)^2-(-7*1*4)

DELTA = 92

DELTA > 0

X = (92^(1/2)+8)/(1*2) or X = (8-92^(1/2))/(1*2)

X = (2*23^(1/2)+8)/2 or X = (8-2*23^(1/2))/2

(X-((8-2*23^(1/2))/2))*(X-((2*23^(1/2)+8)/2)) = 0

((X-((8-2*23^(1/2))/2))*(X-((2*23^(1/2)+8)/2)))/(X-5) = 0

( X-((2*23^(1/2)+8)/2) )

X-((2*23^(1/2)+8)/2) = 0 // + (2*23^(1/2)+8)/2

X = (2*23^(1/2)+8)/2

( X-((8-2*23^(1/2))/2) )

X-((8-2*23^(1/2))/2) = 0 // + (8-2*23^(1/2))/2

X = (8-2*23^(1/2))/2

X in { (2*23^(1/2)+8)/2, (8-2*23^(1/2))/2 }

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