You can
put this solution on YOUR website!no idea what the "quadratic inform" method is, but you solve these as follows:
Given

, this has a quadratic form, which you can see better if you let y=

, because we can re-write the equation now as

. This is now better to see and we can solve it by factorising:
(y-6)(y+1) = 0
so, y-6 = 0 OR y+1 = 0
so y=6 or y=-1
Hence

or

or, rewritten:

or
Now, solve these 2 equations to give the values of x. The first one looks to be a "formula" job, but the second can be factorised. You do these.
Second example...Let y =

...we then get

. This can be factorised and hence solved quickly. Then go back and find the values of x.
Third...

becomes

then
now

means either

or

. I shall use the first of these:

so x = cube root of 1024 (roughly 10.079).
jon.