25(t-2/5)^2-144=0

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Solution for 25(t-2/5)^2-144=0 equation: 


t in (-oo:+oo)

25*(t-(2/5))^2-144 = 0

25*(t-2/5)^2-144 = 0

25*(t-2/5)^2-144 = 0

25*t^2-20*t-140 = 0

25*t^2-20*t-140 = 0

5*(5*t^2-4*t-28) = 0

5*t^2-4*t-28 = 0

DELTA = (-4)^2-(-28*4*5)

DELTA = 576

DELTA > 0

t = (576^(1/2)+4)/(2*5) or t = (4-576^(1/2))/(2*5)

t = 14/5 or t = -2

5*(t+2)*(t-14/5) = 0

5*(t+2)*(t-14/5) = 0

( 5 )

5 = 0

t belongs to the empty set

( t+2 )

t+2 = 0 // - 2

t = -2

( t-14/5 )

t-14/5 = 0 // + 14/5

t = 14/5

t in { -2, 14/5 }

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