(t*t-5t-36)/(t-9)

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Solution for (t*t-5t-36)/(t-9) equation: 


D( t )

t-9 = 0

t-9 = 0

t-9 = 0

t-9 = 0 // + 9

t = 9

t in (-oo:9) U (9:+oo)

(t*t-(5*t)-36)/(t-9) = 0

(t*t-5*t-36)/(t-9) = 0

(t^2-5*t-36)/(t-9) = 0

t^2-5*t-36 = 0

t^2-5*t-36 = 0

DELTA = (-5)^2-(-36*1*4)

DELTA = 169

DELTA > 0

t = (169^(1/2)+5)/(1*2) or t = (5-169^(1/2))/(1*2)

t = 9 or t = -4

(t+4)*(t-9) = 0

t+4 = 0

t+4 = 0 // - 4

t = -4

t = -4

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