t-4/t-6

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Solution for t-4/t-6 equation:


D( t )

t = 0

t = 0

t = 0

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

t-(4/t)-6 = 0

t-4*t^-1-6 = 0

1*t^1-4*t^-1-6*t^0 = 0

(1*t^2-6*t^1-4*t^0)/(t^1) = 0 // * t^2

t^1*(1*t^2-6*t^1-4*t^0) = 0

t^1

t^2-6*t-4 = 0

t^2-6*t-4 = 0

DELTA = (-6)^2-(-4*1*4)

DELTA = 52

DELTA > 0

t = (52^(1/2)+6)/(1*2) or t = (6-52^(1/2))/(1*2)

t = (2*13^(1/2)+6)/2 or t = (6-2*13^(1/2))/2

t in { (6-2*13^(1/2))/2, (2*13^(1/2)+6)/2}

t in { (6-2*13^(1/2))/2, (2*13^(1/2)+6)/2 }

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