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System Message

[00:00:00] *** Please note: All sessions are recorded for quality control. ***

Guest (Customer)

[00:00:00] I have no idea what to do on this problem: 64x^2-1=0

Danielle P (Tutor)

[00:00:14] Hi welcome to tutor.com ! What are the instructions for this problem?

Guest (Customer)

[00:00:34] hi

[00:00:44] to solve the equation

Danielle P (Tutor)

[00:01:01] Ok cool. Any ideas what we should do first?

[00:01:56] We need to factor. Do you know how to factor this equation?

Guest (Customer)

[00:02:12] no

Danielle P (Tutor)

[00:02:46] Well, first we look for a greatest common factor. Does 64x^2-1 have a GCF?

Guest (Customer)

[00:03:16] no just 1

Danielle P (Tutor)

[00:03:35] That's right!

[00:03:48] So what rules do we have for factoring something with 2 terms?

[00:05:07] DIfference of squares, difference of cubes, sum of cubes.
Is this any of those?

Guest (Customer)

[00:05:46] oh ya but -1 doesnt have a square root

Danielle P (Tutor)

[00:06:24] well remember with difference of squares, it's a^2-b^2, so in this case, b=1

[00:07:24] See my example?
we use 9 there, just like we'll use 1 in our problem.

Guest (Customer)

[00:07:43] ok

Danielle P (Tutor)

[00:08:39] Go ahead and factor this problem using difference of squares.

Guest (Customer)

[00:09:57] i dont get how to factor the -1

Danielle P (Tutor)

[00:10:11] What is the square root of 1?

Guest (Customer)

[00:10:24] oh 1?

Danielle P (Tutor)

[00:10:52] right! good job!

Guest (Customer)

[00:11:10] ok

Danielle P (Tutor)

[00:11:26] Now do you know what to do?

Guest (Customer)

[00:12:06] ya you solve the equation : 8x-1=0 and
8x+1=0

Danielle P (Tutor)

[00:12:23] that's right!

[00:12:27] What do you get?

[00:14:19] Very good! x=1/8 and x=-1/8.

[00:14:29] Do you have any questions about what we did today?

Guest (Customer)

[00:14:45] no thank u very much

Danielle P (Tutor)

[00:15:13] Cool. Just remember when you have 2 terms and they are subtracted to look for a difference of squares!

[00:15:39] Thank you for using tutor.com ! Please fill out the exit survey to let us know what we can do better!

Guest (Customer)

[00:15:43] ok thanks bye