t+8=20/t

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Solution for t+8=20/t equation: 


D( t )

t = 0

t = 0

t = 0

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

t+8 = 20/t // - 20/t

t-(20/t)+8 = 0

t-20*t^-1+8 = 0

1*t^1-20*t^-1+8*t^0 = 0

(1*t^2+8*t^1-20*t^0)/(t^1) = 0 // * t^2

t^1*(1*t^2+8*t^1-20*t^0) = 0

t^1

t^2+8*t-20 = 0

t^2+8*t-20 = 0

DELTA = 8^2-(-20*1*4)

DELTA = 144

DELTA > 0

t = (144^(1/2)-8)/(1*2) or t = (-144^(1/2)-8)/(1*2)

t = 2 or t = -10

t in { -10, 2} 

t in { -10, 2 }

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