2t=8/t-3

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Solution for 2t=8/t-3 equation:


D( t )

t = 0

t = 0

t = 0

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

2*t = 8/t-3 // - 8/t-3

2*t-(8/t)+3 = 0

2*t-8*t^-1+3 = 0

2*t^1-8*t^-1+3*t^0 = 0

(2*t^2+3*t^1-8*t^0)/(t^1) = 0 // * t^2

t^1*(2*t^2+3*t^1-8*t^0) = 0

t^1

2*t^2+3*t-8 = 0

2*t^2+3*t-8 = 0

DELTA = 3^2-(-8*2*4)

DELTA = 73

DELTA > 0

t = (73^(1/2)-3)/(2*2) or t = (-73^(1/2)-3)/(2*2)

t = (73^(1/2)-3)/4 or t = (-(73^(1/2)+3))/4

t in { (-(73^(1/2)+3))/4, (73^(1/2)-3)/4}

t in { (-(73^(1/2)+3))/4, (73^(1/2)-3)/4 }

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