(T-5)^2-1/4=0

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Solution for (T-5)^2-1/4=0 equation: 


T in (-oo:+oo)

(T-5)^2-(1/4) = 0

(T-5)^2-1/4 = 0

(4*(T-5)^2)/4-1/4 = 0

4*(T-5)^2-1 = 0

4*T^2-40*T+99 = 0

4*T^2-40*T+99 = 0

4*T^2-40*T+99 = 0

DELTA = (-40)^2-(4*4*99)

DELTA = 16

DELTA > 0

T = (16^(1/2)+40)/(2*4) or T = (40-16^(1/2))/(2*4)

T = 11/2 or T = 9/2

(T-9/2)*(T-11/2) = 0

((T-9/2)*(T-11/2))/4 = 0

((T-9/2)*(T-11/2))/4 = 0 // * 4

(T-9/2)*(T-11/2) = 0

( T-11/2 )

T-11/2 = 0 // + 11/2

T = 11/2

( T-9/2 )

T-9/2 = 0 // + 9/2

T = 9/2

T in { 11/2, 9/2 }

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