SOLUTION: Solve by completing the square. z^2 + z = 2

Question 1912: Solve by completing the square.
z^2 + z = 2
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
to write the lefthand side as a "square" eg we need to figure out what is missing and add it in, so the standard square is as follows:

so, we would need to find the number "a"...so look at the coefficient of the x-term. You have 1z so 2a is equivalent to 1 therefore a itself must be 1/2. If that is so, then must be 1/4.
so, we would need to have
but we cannot JUST add a 1/4 to one side...we need to add it to both sides, to keep the equation "unchanged", so we actually get the following:

which becomes

so now, taking square root of both sides, we get
= +-....ALWAYS remember the +- when square rooting!!!!
so z+1/2 = 3/2 or z+1/2 = -3/2
so z=1, or z=-2
Make sense?
cheers
Jon.
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