There are n n\,n beads in a container.
5 of the beads are green and the rest are yellow.
Sarah takes a bead from the container at random and does not replace it. She then takes another bead at random from the container.
The probability that Sarah takes two yellow beads is 37\displaystyle \frac{3}{7}73
Show that 2n2−37n+105=02n^2 - 37n + 105 = 02n2−37n+105=0
Find the value of nnn.