I think that X = -2 and Y = 1
I hope my answer will serve you.
ANSWER
x=11
EXPLANATION
We want to solve the equation:

Add -8 to both sides:

Square both sides of the equation to get:


Rewrite in the form ax² +bx+c=0


Factor to get,

This implies that,

Checking for extraneous solutions.
When x=6, the original equation becomes,


2+8= 6 is not true.
x=6 is an extraneous solution.
When x=11, the original equation becomes,



This is true, hence x=11 is the only solution.
The cistern is losing approximately 3.963 gallons of water per hour.
<u><em>Explanation</em></u>
A cistern is leaking 0.25 liters of water per minute.
<u>We know, 1 gallon = 3.785 liters</u>
So, 0.25 liters =
gallons
That means, the cistern is losing 0.06605....gallons of water per minute.
So, the amount of water losing in 1 hour or 60 minutes
<em>(Approximately)</em>