5184=5184/t-16t

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Solution for 5184=5184/t-16t equation:


D( t )

t = 0

t = 0

t = 0

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

5184 = 5184/t-(16*t) // - 5184/t-(16*t)

16*t-(5184/t)+5184 = 0

16*t-5184*t^-1+5184 = 0

16*t^1-5184*t^-1+5184*t^0 = 0

(16*t^2+5184*t^1-5184*t^0)/(t^1) = 0 // * t^2

t^1*(16*t^2+5184*t^1-5184*t^0) = 0

t^1

16*t^2+5184*t-5184 = 0

16*t^2+5184*t-5184 = 0

DELTA = 5184^2-(-5184*4*16)

DELTA = 27205632

DELTA > 0

t = (27205632^(1/2)-5184)/(2*16) or t = (-27205632^(1/2)-5184)/(2*16)

t = (576*82^(1/2)-5184)/32 or t = (-576*82^(1/2)-5184)/32

t in { (-576*82^(1/2)-5184)/32, (576*82^(1/2)-5184)/32}

t in { (-576*82^(1/2)-5184)/32, (576*82^(1/2)-5184)/32 }

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