You may want to review the old way of solving them and complex numbers first.

One way to solve quadratic equations is by taking the square root
of both sides. You need to be careful, though! For example,
consider the equation *x*^{2} = −6. Since you
now know about imaginary numbers, you take the square root of both
sides, getting *x* = √6**i*, which
is *almost* right. Why almost? Well, remember that there
are two numbers you can square to get 4 — 2 and −2.
Similarly, here, there are two numbers you can square to get
−6 — √6**i* and −√6**i*
— so these are both solutions. Generally, a quadratic
equation will have two solutions. (The only exception is if the
thing on the right-hand side is just 0, since that only has one
square root.)

In general, you might have to do some work at the beginning to
get the square by itself, or at the end after you've taken the
square root of both sides to get *x* by itself. For example,
if you have (*x* − 3)^{2} + 1 = −5, you
first subtract 1 from both sides (getting (*x* −
3)^{2} = −6), then take the square root of both
sides (getting *x* − 3 = √6**i* or
−√6**i*), then finally add 3 to both sides
(getting *x* = 3 + √6**i* or 3 −
√6**i*).