# Show that n2 - n - 90 = 0

**Question description**

There are n sweets in a bag. 6 of the sweets are orange. The rest of the sweets are yellow.

Hannah takes a sweet from the bag at random and eats it.

Hannah then takes another sweet from the bag at random at eats that too.

The probability that Hannah eats two orange sweets is 1/3.

Show that n^{2} - n - 90 = 0

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