((1)/(T-2))=(T/8)

Solution for ((1)/(T-2))=(T/8) equation:

D( T )

T-2 = 0

T-2 = 0

T-2 = 0

T-2 = 0 // + 2

T = 2

T in (-oo:2) U (2:+oo)

1/(T-2) = T/8 // - T/8

1/(T-2)-(T/8) = 0

1/(T-2)-T/8 = 0

(1*8)/(8*(T-2))+(-T*(T-2))/(8*(T-2)) = 0

1*8-T*(T-2) = 0

2*T-T^2+8 = 0

2*T-T^2+8 = 0

2*T-T^2+8 = 0

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

DELTA = 36

DELTA > 0

T = (36^(1/2)-2)/(-1*2) or T = (-36^(1/2)-2)/(-1*2)

T = -2 or T = 4

(T+2)*(T-4) = 0

((T+2)*(T-4))/(8*(T-2)) = 0

((T+2)*(T-4))/(8*(T-2)) = 0 // * 8*(T-2)

(T+2)*(T-4) = 0

( T+2 )

T+2 = 0 // - 2

T = -2

( T-4 )

T-4 = 0 // + 4

T = 4

T in { -2, 4 }