Solve (y–3)2 – 32 = 0, where y is a real number. Simplify your answer as much as possible.
If there is more than one solution, separate them with commas.
If there is no solution, click "No solution."
y = 0
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Step-by-step explanation:

Use foil method

First multiply y and y

Next Multiply Outer term y and -3.

After that ), Multily inner tern -3 and y

Finally multiply -3 and -3 and you get 9.

Then combine all

Now I'm going to complete the square. First get only the y value on the left side so we first set this equal to zero then move add 23 on both sides.

Add 23

Apply formula

where b is the coefficient.

plug it in

Which is -3 squared which equal 9.

Then add 9 on both sides

23+9=32

Now let factor the left side

the only number that adds to -6 and multiply to 9 is

-3 so we would rewrite the left side as

Now take the sqr root of 32

Then add 3 on both sides

A sqr root of a number can be positive or negative so

the answer is

or