00:00x divided by y times z equals 1 divided by 6, y divided by x times z equals 2 divided by 3, z divided by
00:05Given that x times y equals 3/2, the question asks for the value of x squared plus y squared plus z squared.
00:10Friends.
00:11We can do it like this, guys.
00:12Let's multiply x divided by y times z by y divided by x times z.
00:19Wouldn't that be equal to 1/6 multiplied by 2/3?
00:23It is possible.
00:24But why?
00:25These are 1 in 6.
00:26So, this is equal to 2/3, we multiplied the two sides together, that's what we understand.
00:29Friends, the x's cancel each other out because they are in a multiplication and division relationship.
00:33The Y's lead to each other in the same way.
00:34From this, we find 1 divided by z squared.
00:39It can be changed, folks.
00:412, 1, 3, 3, I'll just change this part too.
00:421 in 9.
00:44So, if 1 divided by z squared is 9, what is z squared equal to here?
00:48It is equal to 9.
00:50Let's leave this aside.
00:51Now, after doing that, we'll divide x by y by z, and then divide z by itself.
00:59Multiply x by y, then multiply them side by side.
01:01So that was 1/6 multiplied by 3/2.
01:04Right, guys?
01:05The parties are the other side of the equality.
01:06So when the z's cancel out, when the x's cancel out, it equals 1 divided by y squared.
01:13We find it as 3, 1, 2, 1 divided by 4.
01:16From there, we find that y squared equals 4.
01:20Z squared is the 9th.
01:22So, what's left now, folks?
01:24All that's left is to find x squared.
01:26We'll do it like this.
01:27We will multiply y divided by x times z and z divided by x times y side by side.
01:32That's 2/3 multiplied by 3/2.
01:34That's equal to 1.
01:35From here, the 'y's become simplistic.
01:37The Zs are simplified.
01:391 divided by x squared equals 1.
01:43Why?
01:43The threes are also getting simpler.
01:44The number 2s are also getting simpler, folks.
01:46We had found him.
01:46So, what is our x-squared value from here, guys?
01:50We found it to be 1.
01:52What are you being asked now?
01:52The total amount is being asked, folks.
01:54x squared plus y squared plus z squared.
01:56From this, we get 9, 4 more is 13, and 1 more is 14.
02:00Thank you for watching.
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