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I read it like this:

Now get rid of the fractions by multiplying the whloe equation by 2

So you get

Now solve using the quadratic equation

a=2 b=1 c=3
plug them in:

Multiply, I usually work out the discriminant seprately so there is no mistakes by rewriting the equation several times.

since you cannot reduce this is the final answer.

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First, subtract
Then, divide
Since one cannot take .82 of a course, the answer is 3 courses

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ok,
and
so

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to start, let n = the number
and, let = its square
so
put this quadratic equation in to standard form

now factor it out

so n=12 or n=-13
lets see:
CHECK
CHECK

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We can FOIL this one.
F -
O -
I -
L -
Now write out the binomial:

remember
so
Now combind like terms:
=
29+31i (remember to keep in a+bi form to be correct)

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Lets back in to this one...
At the end of the day, there were 15 hats.
Earlier 2 had been sold 1 of which was returned.
so 15+2-1=16

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First divide both sides by 7

so
then cube both sides
so
then take the 5th root from both sides