Question

Please help me solve this word problem:

Answer 1

Solve 55=(t^2−t)/2 for t
t2−t=110
t2−t−110=0
(t−11)(t+10)=0


t=11

Answer 2

Answer:

t = 11

Step-by-step explanation:

From the equation that gives, the number of games you can get the number t of players who participated in the ronund-robin tormeo, is:

$N = \frac{t ^ 2-t}{2}$

$55 = \frac{t ^ 2-t}{2}$

$110 = t ^ 2-t$

$t ^ 2-t -110 = 0$

$(t-11) (t + 10) = 0$.  Then

$t - 11 = 0\\t = 11\\t + 10 = 0\\t = -10$

Since t cannot take negative values, then t = 11.