5s-25/s-25

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Solution for 5s-25/s-25 equation: 


D( s )

s = 0

s = 0

s = 0

s in (-oo:0) U (0:+oo)

5*s-(25/s)-25 = 0

5*s-25*s^-1-25 = 0

5*s^1-25*s^-1-25*s^0 = 0

(5*s^2-25*s^1-25*s^0)/(s^1) = 0 // * s^2

s^1*(5*s^2-25*s^1-25*s^0) = 0

s^1

5*s^2-25*s-25 = 0

5*s^2-25*s-25 = 0

DELTA = (-25)^2-(-25*4*5)

DELTA = 1125

DELTA > 0

s = (1125^(1/2)+25)/(2*5) or s = (25-1125^(1/2))/(2*5)

s = (15*5^(1/2)+25)/10 or s = (25-15*5^(1/2))/10

s in { (25-15*5^(1/2))/10, (15*5^(1/2)+25)/10} 

s in { (25-15*5^(1/2))/10, (15*5^(1/2)+25)/10 }

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