(-x^2-50x-625)/(-3x-75)

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Solution for (-x^2-50x-625)/(-3x-75) equation:


D( x )

-3*x-75 = 0

-3*x-75 = 0

-3*x-75 = 0

-3*x-75 = 0 // + 75

-3*x = 75 // : -3

x = 75/(-3)

x = -25

x in (-oo:-25) U (-25:+oo)

((-x)^2-(50*x)-625)/(-3*x-75) = 0

((-x)^2-50*x-625)/(-3*x-75) = 0

(x^2-50*x-625)/(-3*x-75) = 0

x^2-50*x-625 = 0

x^2-50*x-625 = 0

DELTA = (-50)^2-(-625*1*4)

DELTA = 5000

DELTA > 0

x = (5000^(1/2)+50)/(1*2) or x = (50-5000^(1/2))/(1*2)

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

(x-((50-50*2^(1/2))/2))*(x-((50*2^(1/2)+50)/2)) = 0

((x-((50-50*2^(1/2))/2))*(x-((50*2^(1/2)+50)/2)))/(-3*x-75) = 0

( x-((50*2^(1/2)+50)/2) )

x-((50*2^(1/2)+50)/2) = 0 // + (50*2^(1/2)+50)/2

x = (50*2^(1/2)+50)/2

( x-((50-50*2^(1/2))/2) )

x-((50-50*2^(1/2))/2) = 0 // + (50-50*2^(1/2))/2

x = (50-50*2^(1/2))/2

x in { (50*2^(1/2)+50)/2, (50-50*2^(1/2))/2 }

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