t-48/t=8

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Solution for t-48/t=8 equation:


D( t )

t = 0

t = 0

t = 0

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

t-(48/t) = 8 // - 8

t-(48/t)-8 = 0

t-48*t^-1-8 = 0

1*t^1-48*t^-1-8*t^0 = 0

(1*t^2-8*t^1-48*t^0)/(t^1) = 0 // * t^2

t^1*(1*t^2-8*t^1-48*t^0) = 0

t^1

t^2-8*t-48 = 0

t^2-8*t-48 = 0

DELTA = (-8)^2-(-48*1*4)

DELTA = 256

DELTA > 0

t = (256^(1/2)+8)/(1*2) or t = (8-256^(1/2))/(1*2)

t = 12 or t = -4

t in { -4, 12}

t in { -4, 12 }

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