s-5/s+7

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Solution for s-5/s+7 equation: 


D( s )

s = 0

s = 0

s = 0

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

s-(5/s)+7 = 0

s-5*s^-1+7 = 0

1*s^1-5*s^-1+7*s^0 = 0

(1*s^2+7*s^1-5*s^0)/(s^1) = 0 // * s^2

s^1*(1*s^2+7*s^1-5*s^0) = 0

s^1

s^2+7*s-5 = 0

s^2+7*s-5 = 0

DELTA = 7^2-(-5*1*4)

DELTA = 69

DELTA > 0

s = (69^(1/2)-7)/(1*2) or s = (-69^(1/2)-7)/(1*2)

s = (69^(1/2)-7)/2 or s = (-(69^(1/2)+7))/2

s in { (-(69^(1/2)+7))/2, (69^(1/2)-7)/2} 

s in { (-(69^(1/2)+7))/2, (69^(1/2)-7)/2 }

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