(-77+50x-8x^2)/(x-3.5)

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Solution for (-77+50x-8x^2)/(x-3.5) equation: 


D( x )

x-3.5 = 0

x-3.5 = 0

x-3.5 = 0

x-3.5 = 0 // + 3.5

x = 3.5

x in (-oo:3.5) U (3.5:+oo)

(50*x-(8*x^2)-77)/(x-3.5) = 0

(50*x-8*x^2-77)/(x-3.5) = 0

50*x-8*x^2-77 = 0

50*x-8*x^2-77 = 0

DELTA = 50^2-(-77*(-8)*4)

DELTA = 36

DELTA > 0

x = (36^(1/2)-50)/(-8*2) or x = (-36^(1/2)-50)/(-8*2)

x = 11/4 or x = 7/2

(x-11/4)*(x-7/2) = 0

((x-11/4)*(x-7/2))/(x-3.5) = 0

( x-11/4 )

x-11/4 = 0 // + 11/4

x = 11/4

( x-7/2 )

x-7/2 = 0 // + 7/2

x = 7/2

x in { 7/2} 

x = 11/4

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