# How do you solve #(x + 1/3)^2 - 4/9 = 0#?

##### 2 Answers

Use the formula named as Difference of Squares", i.e.,

Here

Now, use "zero product property", i.e.,

If

Here

Solution Set

#### Explanation:

This method does not require factorization into a difference of squares.

Add

#(x+1/3)^2=4/9#

Take the square root of both sides. Recall that both the positive and negative roots should be taken.

Also note that

#x+1/3=+-2/3#

Split this into two equations:

#x+1/3=2/3#

#color(red)(x=1/3#

The negative version:

#x+1/3=-2/3#

#color(red)(x=-1#