7/s=4s-1/5s

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Solution for 7/s=4s-1/5s equation:


D( s )

s = 0

s = 0

s = 0

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

7/s = 4*s-((1/5)*s) // - 4*s-((1/5)*s)

(1/5)*s-(4*s)+7/s = 0

(1/5)*s-4*s+7/s = 0

7*s^-1-19/5*s^1 = 0

(7*s^0-19/5*s^2)/(s^1) = 0 // * s^2

s^1*(7*s^0-19/5*s^2) = 0

s^1

(-19/5)*s^2+7 = 0

(-19/5)*s^2+7 = 0

DELTA = 0^2-(4*7*(-19/5))

DELTA = 532/5

DELTA > 0

s = ((532/5)^(1/2)+0)/(2*(-19/5)) or s = (0-(532/5)^(1/2))/(2*(-19/5))

s = -5/38*(532/5)^(1/2) or s = 5/38*(532/5)^(1/2)

s in { -5/38*(532/5)^(1/2), 5/38*(532/5)^(1/2)}

s in { -5/38*(532/5)^(1/2), 5/38*(532/5)^(1/2) }

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