SOLUTION: Use the difference of two squares theorem to find the solution to the equations b squared = 18 and z squared = 13

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Question 203415: Use the difference of two squares theorem to find the solution to the equations b squared = 18 and z squared = 13
Answer by jsmallt9(3758) (Show Source):
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Difference of two squares:

First let's get a difference by subtracting 18 from both sides:

Now we need to write this as a difference of squares. b^2 is already a square. Next we need to write 18 as a square. What squared is 18? Answer: . Now we have:

which is a difference of squares. We can rewrite this as:

In order for this (or any) product to be zero, one of the factors must be zero (Zero Product Property). So
or
Solving these we get:
or
We can simplify these square roots.

So the simplified answers:
or

Using the same steps on we get or