36=(t^2-t)/2

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Solution for 36=(t^2-t)/2 equation: 


t in (-oo:+oo)

36 = (t^2-t)/2 // - (t^2-t)/2

36-((t^2-t)/2) = 0

(-1*(t^2-t))/2+36 = 0

(-1*(t^2-t))/2+(2*36)/2 = 0

2*36-1*(t^2-t) = 0

t-t^2+72 = 0

t-t^2+72 = 0

t-t^2+72 = 0

DELTA = 1^2-(-1*4*72)

DELTA = 289

DELTA > 0

t = (289^(1/2)-1)/(-1*2) or t = (-289^(1/2)-1)/(-1*2)

t = -8 or t = 9

(t+8)*(t-9) = 0

((t+8)*(t-9))/2 = 0

((t+8)*(t-9))/2 = 0 // * 2

(t+8)*(t-9) = 0

( t+8 )

t+8 = 0 // - 8

t = -8

( t-9 )

t-9 = 0 // + 9

t = 9

t in { -8, 9 }

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