im 13 and going into 8th grade.I clicked this video because i wanted to see if i could get it. Originally I thought i couldnt,but with you explaining it,i think i got it.thank you.But luckily i dont have to take this for some time to come.
theres an easier and different appoach to do this problem. just square root both sides of the equation solve for y and u kno why is great than 0 so it cant be the -2.5 but has to be the positive 2.5. done
Don't be nasty. My students can solve this problem is 5-10 seconds. If you can't, email me and I'll explain how it can be solved that quickly. Unfortunately this instructor does not teach methods that can be used to solve classes of problems. He do not appear to teach general approaches. If he shows you how to solve one problem and, of couse, that problem will not appear on the SAT, has he really helped you?
I figured that out and I'm in 7th grade. What what I did was factor both parts of (x+y)^2-(x-y)^2, so
(x^2 + y^2 +2xy)+ (x^2 + y^2 -2xy)=
2x^2 + 2y^2= 4y^2 because the smallest value of y would be when x=y equal the same since it's equal or greater and then you have 4y^2=25 so squareroot both sides and you get 2y=5. Divide by 2 and you get 2.5, the same answer that he gives. I don't get what he does at the beginning though.
I was in fact, in 7th grade when I answered, but now I'm in 8th. Also, when I was in 7th grade, I was already learning Algebra 2 so... Anyways, there was a mistake in what I wrote because I was rushing. Factor both parts of (x+y)^2-(x-y)^2, so
(x^2 + y^2 +2xy)- (x^2 + y^2 -2xy)=
2x^2 - -(2y^2)= 4y^2 because the smallest value of y would be when x=y equal the same since it's equal or greater and then you have 4y^2=25 so squareroot both sides and you get 2y=5. I put a plus sign instead of a -
Some of my students do this problem in under 5 secs. (x+y)squared - (x-y)squared is 4xy. Since y >= x we have 4 y squared >= 4xy >= 25/4. y >= 5/2 so the least value is 5/2. An SAT math student knows how to expand binomials quickly.
This is good up until the explanation of why x=y. This was more assertion than justification.
Here's how I see it: since y>=x, it follows that y^2>=xy. Since we have xy>=25/4, it follows (by the transitive property) that y^2>=25/4. This implies y>=5/2, making 5/2 the least possible value of y such that (x,y) is a solution to the original inequality. (Check: x=y=5/2 is a solution, so 5/2 is indeed the minimum such value of y.)
This explanation is pretty good, except for the justification of x as the midpoint between 0 and 5. This was more assertion than anything else; I didn't buy the justification. (Also, the diagram makes it look like you're choosing x to be (1/2)*y, which is a little confusing.)
how did u get 2y when you square root the whole formula ? You get Sqrt(4xy)=5 and not 2y=5. You are totally wrong but you got lucky may be because you knew the answer and try to fit it somehow. this is the hard problem
I believe that is how he, booglepop, got the answer. I'm not sure if this is "legal" to do though. Anyway, legal or not this is sure as hell easier than what the guy demonstrated. He didn't use the FOIL system, so whatever he did use was confusing to the people, including myself.
Oops - I meant, "His technique confused you *because you* don't know algebra. (Rather like how I am confusing because I don't know how to proofread. :)
Toughest? TOUGHEST?
Dude I'm 8th grade an I did this in less than a freaking minute >.<
Just saying... but I'm asian :P
prishc206 4 weeks ago
so wait what's the answer?
TH3PANDA8094 5 months ago
this is so easy to solve
felicity12100 11 months ago
Square root both sides:
(x+y)-(x-y)>/=+/-5 Y cannot be negative, as the inequality shows, therefore:
(x+y)-(x-y)>/=5
Simplify:
x+y-x-(-y>/)=5 : 2y>/=5 : y>/=2.5
I thought that method would be much easier and more time efficient.
KingKang094 1 year ago
HE GOT 710 WTF BE PROUD
brightlessshade 1 year ago
ehhh I'm more into a social studies person
justin9816 1 year ago
Does this cost money to call your hotline for explainations
WhatTheTwinky 1 year ago
That was a good math problem...I really wish I was this good with numbers..
yourit311 1 year ago
umm..... fish=duh
Thejeter5770 1 year ago
boring
shianara3 1 year ago
just put a zero inplase of the y because its the least amount u can get and colculat !! im 15 and know that what are u stupid ?! (x+0)2-(x-o)2 y=0
TheAllTechInOnePlace 1 year ago
im 13 and going into 8th grade.I clicked this video because i wanted to see if i could get it. Originally I thought i couldnt,but with you explaining it,i think i got it.thank you.But luckily i dont have to take this for some time to come.
moneymaker8815 1 year ago
dude i check all of your comment and t seem that you have anger management
Motordirt1 1 year ago
Can do like dowloadable notes plz
Motordirt1 1 year ago
you seem to teach good stuff to bad i go to french school
Motordirt1 1 year ago
You dont have to take it as "the mid point "theory you quoted for X and Y.
It clearly says in the question taht ,
0<= x <= Y
it says x can be equal to y hence u can put xy= y squared.
Ryuuusa 1 year ago
fart teacher
MrSuperbomb 1 year ago
2.5 just obvious
FERGIOUSNESSIOUS 2 years ago
how and why?
mathproblems 2 years ago
@mathproblems
What he did was square root both sides. Therefore 2y >/ 5
RyanxHurst 1 year ago
theres an easier and different appoach to do this problem. just square root both sides of the equation solve for y and u kno why is great than 0 so it cant be the -2.5 but has to be the positive 2.5. done
marangis 2 years ago
good problem
fandangofandango 2 years ago
This has been flagged as spam show
Don't you have to finish this in less then a minute or 2
Amire92 2 years ago
math sucks and so does school
grandtheftauto5000 2 years ago
so y r u watching dis (little kids these days)
diggy126 2 years ago
THEN FLIP HAMBURGERS
mathproblems 2 years ago 28
i love teachers
AmericanKillSquad 2 years ago
Not hard, You just Need to know the basics of algebra, and theres no problem. But might be hard to some people.
PedroPistons 2 years ago
uhhhh what does quanity mean??? lol
domsworkCN 2 years ago
what da fuck this is math which i used to do in 4th class....bull shit basic algebra
aahmed7861 2 years ago
This comment has received too many negative votes show
i am in fifth and can solve this stupid americans
shemeferraj 2 years ago
Don't be nasty. My students can solve this problem is 5-10 seconds. If you can't, email me and I'll explain how it can be solved that quickly. Unfortunately this instructor does not teach methods that can be used to solve classes of problems. He do not appear to teach general approaches. If he shows you how to solve one problem and, of couse, that problem will not appear on the SAT, has he really helped you?
blockfrom3062 2 years ago
what's ur solution? i'm curious :)
Ren520 2 years ago
I can't write solution in under 500 words. Email me and I'll returrn an email with the solution.
blockfrom3062 2 years ago
i dont think that guys american
anthonyac2 2 years ago
Thats y hes smart.
lucasdaudt22 2 years ago
hard!!!!!!
HunniiBunniz 2 years ago
?? wad... its managable imo....
zh1412 2 years ago
too easy
ligosss 3 years ago
fake.
1QuitPking 3 years ago
fake
Yungsta187 3 years ago
im in 7th and im dum as hell XD
zer0gravity0 3 years ago
wha? i'm only 11 (: and this was on reccomended for you. LOLWTF.
hotty6745 3 years ago
this is such an easy problem, i could do this in 6th grade, what's wrong with you americans
lamez0r 3 years ago
its 69
maplestoryjoe 3 years ago
That's simple
Tonygoescrazy 3 years ago 4
if i really gave a crap i culd figure this out
yomammaonastick 3 years ago
it can be done. just use distributive property.
S1lentMayhem 3 years ago 2
you are the greatest
Nanumir 3 years ago
subliminal message pause at :58
lowIQ04 3 years ago
him looking out of the window?
xLoGDx 3 years ago
WITW!!!!
jayskingdomthemepark 3 years ago
I figured that out and I'm in 7th grade. What what I did was factor both parts of (x+y)^2-(x-y)^2, so
(x^2 + y^2 +2xy)+ (x^2 + y^2 -2xy)=
2x^2 + 2y^2= 4y^2 because the smallest value of y would be when x=y equal the same since it's equal or greater and then you have 4y^2=25 so squareroot both sides and you get 2y=5. Divide by 2 and you get 2.5, the same answer that he gives. I don't get what he does at the beginning though.
blindironman202 3 years ago
im in grade 6 and i dont understand anything you just said.
FrozenFox87 3 years ago
ummm duh!!
yomammaonastick 3 years ago
If you haven't noticed, I was replying to blindironman202's comment.
FrozenFox87 3 years ago
Wow, You either got that answer off your mom , or your not Grade 7. Im in grade 7, and That kind of shit isnt until Grade 8/9. Nice try though, bud.
CorysVidz 3 years ago
I was in fact, in 7th grade when I answered, but now I'm in 8th. Also, when I was in 7th grade, I was already learning Algebra 2 so... Anyways, there was a mistake in what I wrote because I was rushing. Factor both parts of (x+y)^2-(x-y)^2, so
(x^2 + y^2 +2xy)- (x^2 + y^2 -2xy)=
2x^2 - -(2y^2)= 4y^2 because the smallest value of y would be when x=y equal the same since it's equal or greater and then you have 4y^2=25 so squareroot both sides and you get 2y=5. I put a plus sign instead of a -
blindironman202 3 years ago
Dude, my teacher gave me this problem in 2nd grade and I got this right! But now I hate math :P
MrGuarono 3 years ago
i got that all right and im in grade 10
qu4zu000 3 years ago
lol, im in grade six and im sitting here going wtf?
jellycakedude001 3 years ago
your wrong...srry bout tht..
evilandcute 3 years ago
My brain hurts.. a lot
mario11168 3 years ago
Come on!!!! I took the SAT as a sixth grader and got this problem right!!!!!!!!!!!!
Answer is A or 1.25
detry322 4 years ago
i had no idea what he was talking about haha
erikiscool250 4 years ago
No bidg loss OK?
mathproblems 4 years ago
ok. thats so hard
erikiscool250 4 years ago
i cant believe this is a difficult question i wish we had ones like it.. its just factorising... thats like a part A
fionathatsme 4 years ago
i didn't understand u man example do more examples
muhdimustafasharif 4 years ago
Buddy I'm in gr. 10 and i can figure that out pretty easily
grgfrg7 4 years ago
yeah me too *high five*
qu4zu000 3 years ago
well i got y=0.4
gibzie 5 years ago
Some of my students do this problem in under 5 secs. (x+y)squared - (x-y)squared is 4xy. Since y >= x we have 4 y squared >= 4xy >= 25/4. y >= 5/2 so the least value is 5/2. An SAT math student knows how to expand binomials quickly.
blockfrom3062 5 years ago
This is good up until the explanation of why x=y. This was more assertion than justification.
Here's how I see it: since y>=x, it follows that y^2>=xy. Since we have xy>=25/4, it follows (by the transitive property) that y^2>=25/4. This implies y>=5/2, making 5/2 the least possible value of y such that (x,y) is a solution to the original inequality. (Check: x=y=5/2 is a solution, so 5/2 is indeed the minimum such value of y.)
kurt872 5 years ago
thank you kurt for this nice proof, I didn't buy the "midpoint" assertion either :)
r0ji 5 years ago
This explanation is pretty good, except for the justification of x as the midpoint between 0 and 5. This was more assertion than anything else; I didn't buy the justification. (Also, the diagram makes it look like you're choosing x to be (1/2)*y, which is a little confusing.)
kurt872 5 years ago
least y = 25x/4
titanas2 5 years ago
i did it in a completely different way
i squared rooted the whole formula and got 2y = 5 and from there I got 2.5
Your technique completely confused me, but did i do it right or am i just lucky this time?
booogiepop 5 years ago
how did u get 2y when you square root the whole formula ? You get Sqrt(4xy)=5 and not 2y=5. You are totally wrong but you got lucky may be because you knew the answer and try to fit it somehow. this is the hard problem
mathproblems 5 years ago
(x+y)²-(x-y)²≧25➛(x+y)-(x-y)≧5➛2y≧5➛y≧(5/2)
I believe that is how he, booglepop, got the answer. I'm not sure if this is "legal" to do though. Anyway, legal or not this is sure as hell easier than what the guy demonstrated. He didn't use the FOIL system, so whatever he did use was confusing to the people, including myself.
GrimReaper1169 3 years ago
The square root of the left-hand side is *not* (x+y) - (x-y). Square roots do not distribute across sums.
You made a mistake and got lucky. His technique confused you don't know algebra.
kurt872 5 years ago
Oops - I meant, "His technique confused you *because you* don't know algebra. (Rather like how I am confusing because I don't know how to proofread. :)
kurt872 5 years ago
i did it in a completely different way, i square-rooted the whole formul and got 2y = 5 and from there i got 2.5
Your way completely confused me! I kept on watching the video, but I still don't get it. But is my way a good way or am I just lucky this time?
booogiepop 5 years ago
this is very smart and short way SATway!!!!
vinod43 5 years ago
Ohhh, I see what I did wrong. I got to the xy=25/4 part, but I forgot to find the least possible value of Y.
Thank you very much for your time!
noobcola 5 years ago