5-t/7-t=2/t-7

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Solution for 5-t/7-t=2/t-7 equation: 


D( t )

t = 0

t = 0

t = 0

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

5-(t/7)-t = 2/t-7 // - 2/t-7

5-(t/7)-t-(2/t)+7 = 0

5-(t/7)-t-2*t^-1+7 = 0

12*t^0-8/7*t^1-2*t^-1 = 0

(12*t^1-8/7*t^2-2*t^0)/(t^1) = 0 // * t^2

t^1*(12*t^1-8/7*t^2-2*t^0) = 0

t^1

(-8/7)*t^2+12*t-2 = 0

(-8/7)*t^2+12*t-2 = 0

DELTA = 12^2-(-2*4*(-8/7))

DELTA = 944/7

DELTA > 0

t = ((944/7)^(1/2)-12)/(2*(-8/7)) or t = (-(944/7)^(1/2)-12)/(2*(-8/7))

t = -7/16*((944/7)^(1/2)-12) or t = 7/16*((944/7)^(1/2)+12)

t in { -7/16*((944/7)^(1/2)-12), 7/16*((944/7)^(1/2)+12)} 

t in { -7/16*((944/7)^(1/2)-12), 7/16*((944/7)^(1/2)+12) }

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