Directions(1-10): Find the values of x and y, compare their values and choose a correct option.
- (i) x² = 81
(ii) y² – 18y + 81 = 0
y > xy > xx >= yy >= xNo relation existsOption D
(i)x² = 81
x = ± 9
(ii)Y² – 18y + 81 = 0
(y – 9)² = 0
y = 9, 9
x ≤ y - (i) 4x² – 24x + 32 = 0
(ii) y² – 8y + 15 = 0
y > xy >= xx >= yNo relation existsy > xOption D
(i)4x² – 24x + 30 = 0
4x² – 16x – 8x + 32 = 0
4x (x – 4) –8 (x–4) = 0
x = 4, 2
(ii) y² – 8y + 15 = 0
y² – 5y – 3y + 15 = 0
y(y – 5)–3 (y – 5) = 0
y = 5, 3
No relation exists - (i) x² – 21x + 108 = 0
(ii) y² – 17y + 72 = 0
y > xy > xx >= yNo relation existsy >= xOption C
(i)x² – 21x + 108 = 0
x² – 9x – 12x + 108 = 0
x(x – 9) – 12 (x – 9) = 0
x = 9, 12
(ii) y² – 17y + 72 = 0
y² – 8y – 9y + 72 = 0
y (y – 8) – 9 (y – 8) = 0
y = 8,9
x ≥ y - (i) x² – 11x + 30 = 0
(ii) y² – 15y + 56 = 0
y > xx >= yy > xy >= xNo relation existsOption C
(i)x² – 11x + 30 = 0
x² – 6x – 5x + 30 = 0
x(x – 6) – 5(x – 6) = 0
x = 6, 5
(ii)y² – 15y + 56 = 0
y² – 7y – 8y + 56 = 0
y (y – 7) – 8 (y – 7) = 0
y = 7, 8
x < y - (i) x^2 + 12x + 35 =0
(ii) 5y^2 + 33y + 40 =0
y >= xy > xx >= yy > xNo relation existsOption A
(i) 𝑥^2 + 12𝑥 + 35 = 0
𝑥^2 + 7𝑥 + 5𝑥 + 35 = 0
𝑥(𝑥 + 7) + 5(𝑥 + 7) = 0
(𝑥 + 7)(𝑥 + 5) = 0
𝑥 = −7 , −5
(ii) 5𝑦 2 + 33y + 40 = 0
5𝑦 2 + 25𝑦 + 8𝑦 + 40 = 0
5𝑦(𝑦 + 5) + 8(𝑦 + 5) = 0
(𝑦 + 5)(5𝑦 + 8) = 0
𝑦 = − 8/5 , −5
𝑦 ≥ x - (i) 4x^2 + 9x + 5 =0
(ii) 3y^2 + 5y + 2 =0
y > xy >= xNo relation existsx >= yy > xOption B
(i) 4𝑥^2 + 9𝑥 + 5 = 0
4𝑥^2 + 4𝑥 + 5𝑥 + 5 = 0
4𝑥(𝑥 + 1) + 5(𝑥 + 1) = 0
(4𝑥 + 5)(𝑥 + 1) = 0
𝑥 = −1 , − 5/4
(ii) 3𝑦^2 + 5y + 2 = 0
3𝑦^2 + 3y + 2y + 2 = 0
3𝑦(𝑦 + 1) + 2(𝑦 + 1) = 0
(3𝑦 + 2)(𝑦 + 1) = 0
𝑦 = − 2/3 , −1
𝑦 ≥ x - (i) x^2 − 11x + 24 = 0
(ii) y^2 − 12y + 27 = 0
y > xy > xx >= yy >= xNo relation existsOption E
(i) 𝑥^2 − 11𝑥 + 24 = 0
𝑥^2 − 8𝑥 − 3𝑥 + 24 = 0
𝑥(𝑥 − 8) − 3(𝑥 − 8) = 0
(𝑥 − 3)(𝑥 − 8) = 0
𝑥 = 3 , 8
(ii) 𝑦^2 − 12y + 27 = 0
𝑦^2 – 9𝑦 − 3𝑦 + 27 = 0
𝑦(𝑦 − 9) − 3(𝑦 − 9) = 0
(𝑦 − 9)(𝑦 − 3) = 0
𝑦 = 9 , 3
No relation exists - (i) 4𝑥^2 − 21𝑥 + 20 = 0
(ii) 3y^2 − 19y + 30 = 0
y > xy >= xy > xNo relation existsx >= yOption D
(i) 4𝑥^2 − 21𝑥 + 20 = 0
4𝑥^2 − 16𝑥 − 5𝑥 + 20 = 0
4𝑥(𝑥 − 4) − 5(𝑥 − 4) = 0
(4𝑥 − 5)(𝑥 − 4) = 0
𝑥 = 5/4 , 4
(ii) 3𝑦^2 − 19𝑦 + 30 = 0
3𝑦^2 – 9𝑦 − 10𝑦 + 30 = 0
3𝑦(𝑦 − 3) − 10(𝑦 − 3) = 0
(3𝑦 − 10)(𝑦 − 3) = 0
𝑦 = 10/3 , 3
No relation exists - (i) 𝑥^2 − 20𝑥 + 96 = 0
(ii) 𝑦^2 = 64
y > xNo relation existsx >= yy >= xy > xOption C
(i) 𝑥^2 − 20𝑥 + 96 = 0
𝑥^2 − 12𝑥 − 8𝑥 + 96 = 0
(𝑥 − 12) − 8(𝑥 − 12) = 0
(𝑥 − 12)(𝑥 − 8) = 0
𝑥 = 12,8
(ii) 𝑦^2 = 64
𝑦 = ±8
𝑥 ≥ 𝑦 - (i) x³ = 512
(ii) y² = 64
x >= yy >= xy > xNo relation existsy > xOption A
(i) x³ = 512
x = 8
(ii) y² = 64
y = √64 = ± 8
x ≥ y
I have observed that in the world the present day, video games are classified as the latest fad with kids of all ages. Often times it may be not possible to drag your family away from the video games. If you want the very best of both worlds, there are numerous educational gaming activities for kids. Thanks for your post.
Thanks , I’ve recently been searching for info approximately this topic for ages and yours is the
greatest I’ve came upon so far. But, what in regards to the bottom line?
Are you positive about the source?
Wow! Finally I got a web site from where I be able to in fact obtain valuable information concerning my
study and knowledge.
Nice blog here! Also your web site loads up
very fast! What host are you using? Can I get your affiliate link to your host?
I wish my site loaded up as fast as yours lol
I used to be able to find good advice from your articles.
We stumbled over here by a different web address and thought
I may as well check things out. I like what I see so i am just
following you. Look forward to looking into your web
page yet again.
Hello! Would you mind if I share your blog with
my myspace group? There’s a lot of folks that I think would really appreciate your content.
Please let me know. Thanks
Nice answers in return of this matter with real arguments and telling
all about that.
It’s a shame you don’t have a donate button! I’d certainly donate to this brilliant blog!
I suppose for now i’ll settle for book-marking and adding your RSS feed to
my Google account. I look forward to new updates and will share this blog with my Facebook
group. Chat soon!
I know this website gives quality depending content
and extra material, is there any other web page which presents these kinds of things in quality?
Fantastic goods from you, man. I have understand your
stuff previous to and you’re just too excellent. I actually like what you have acquired
here, really like what you’re stating and the way in which you say it.
You make it enjoyable and you still care for to keep it smart.
I can’t wait to read much more from you. This is really a terrific website.
Hi i am kavin, its my first time to commenting
anywhere, when i read this piece of writing i thought i
could also create comment due to this sensible post.
Thanks for the marvelous posting! I genuinely
enjoyed reading it, you happen to be a great author.
I will make sure to bookmark your blog and may come back sometime soon. I want to encourage yourself to
continue your great posts, have a nice evening!
With havin so much content do you ever run into
any problems of plagorism or copyright infringement?
My website has a lot of completely unique content I’ve
either created myself or outsourced but it looks like a lot of it is popping it up all over the web without my permission. Do you know any solutions to help stop content from being stolen? I’d really appreciate it.
Great article.
What’s up i am kavin, its my first occasion to commenting anywhere,
when i read this article i thought i could also
make comment due to this brilliant article.
Thank you for some other excellent post. The place else may anyone
get that kind of info in such an ideal method of writing? I’ve a presentation next week, and I
am on the search for such information.
Howdy! I could have sworn I’ve been to this site before but after reading through some of the
post I realized it’s new to me. Anyhow, I’m definitely delighted I found it and I’ll be bookmarking and checking back often!
For hottest information you have to pay a quick visit web and on the web I found this site as a most excellent web page for hottest updates.
Pretty nice post. I just stumbled upon your blog and wished to say that I’ve truly enjoyed surfing around your blog posts.
After all I will be subscribing to your rss feed and I hope you write again very soon!
Thanks for ones marvelous posting! I seriously enjoyed reading it, you can be a great author.
I will make sure to bookmark your blog and will come back down the road.
I want to encourage you to continue your great posts, have a nice morning!
Heya i’m for the first time here. I came across this board and I find It really useful & it helped me out much.
I hope to give something back and help others like you aided me.
I was wondering if you ever considered changing the layout of your blog?
Its very well written; I love what youve got to say.
But maybe you could a little more in the way of content so people could connect with it better.
Youve got an awful lot of text for only having one or 2 images.
Maybe you could space it out better?
Thanks , I’ve recently been looking for information about this subject for a long
time and yours is the greatest I’ve found out so far.
However, what concerning the conclusion? Are you
sure in regards to the supply?
Howdy! This post couldn’t be written much better!
Looking through this article reminds me of my previous roommate!
He always kept talking about this. I will send
this information to him. Fairly certain he will have a great
read. Many thanks for sharing!
I do trust all the ideas you have presented for your post.
They are very convincing and will certainly work. Still, the posts
are very brief for beginners. May you please prolong them a little from next time?
Thanks for the post.
I used to be suggested this web site by means of my cousin. I am not
certain whether or not this submit is written by means of him as nobody else recognise such certain approximately my trouble.
You are incredible! Thank you!
Hello, for all time i used to check web site posts here in the early hours in the daylight, because i
love to gain knowledge of more and more.
I am regular reader, how are you everybody? This paragraph posted at
this site is actually nice.
you’re really a just right webmaster. The site loading pace
is incredible. It sort of feels that you’re doing any distinctive trick.
Furthermore, The contents are masterwork. you’ve done a excellent task
in this subject!
I am truly glad to read this weblog posts which contains lots of valuable data, thanks for providing
these statistics.
I think the admin of this web site is actually working hard
in favor of his web page, as here every material is quality based data.
Hello there, just became alert to your blog through Google, and found that it’s really informative.
I am going to watch out for brussels. I will appreciate if you continue this in future.
A lot of people will be benefited from your writing.
Cheers!
Article writing is also a excitement, if you know afterward
you can write or else it is complicated to write.
Do you have a spam problem on this site; I
also am a blogger, and I was curious about your situation;
we have created some nice methods and we are
looking to trade techniques with other folks, please shoot
me an email if interested.
Outstanding story there. What happened after?
Thanks!
Thanks a lot for sharing this with all people you actually know what you’re
speaking approximately! Bookmarked. Kindly also visit my web site
=). We may have a hyperlink alternate arrangement among us
Hello it’s me, I am also visiting this web site on a regular basis, this website is genuinely good and the users are
actually sharing fastidious thoughts.
Pretty! This was an extremely wonderful post.
Thank you for providing this info.
This is a topic that’s near to my heart… Cheers!
Exactly where are your contact details though?
What i do not realize is in truth how you are no longer actually much more smartly-liked than you might be now.
You are so intelligent. You understand therefore considerably in relation to this topic, made me in my view believe it from so many varied angles.
Its like women and men aren’t involved unless it is something to accomplish with Lady gaga!
Your individual stuffs excellent. All the time care for it up!
Nice weblog here! Additionally your web site a lot up very fast!
What web host are you the usage of? Can I am getting your associate hyperlink
in your host? I desire my site loaded up as fast as yours lol
My coder is trying to convince me to move to .net from PHP.
I have always disliked the idea because of the costs.
But he’s tryiong none the less. I’ve been using Movable-type on a variety of
websites for about a year and am nervous about switching to another
platform. I have heard excellent things about blogengine.net.
Is there a way I can transfer all my wordpress
posts into it? Any help would be really appreciated!
I will right away seize your rss as I can’t in finding your email subscription hyperlink or newsletter service.
Do you’ve any? Please allow me recognise so that
I could subscribe. Thanks.
Hola! I’ve been following your blog for some time now and finally got
the courage to go ahead and give you a shout out from Austin Tx!
Just wanted to mention keep up the good work!
Pretty section of content. I just stumbled upon your website and in accession capital to assert that I get actually enjoyed account your blog posts. Any way I’ll be subscribing to your feeds and even I achievement you access consistently quickly.
I am regular reader, how are you everybody? This paragraph posted at this web page is actually nice.
I’m in awe of the author’s talent to make intricate concepts accessible to readers of all backgrounds. This article is a testament to her expertise and passion to providing helpful insights. Thank you, author, for creating such an captivating and enlightening piece. It has been an incredible joy to read!
Its not my first time to pay a visit this site,
i am visiting this web site dailly and get fastidious facts from
here daily.