How to solve?

[sujoy]

sir
here is a question:
Find the number of solutions for positive integers a, b,and c such that
a+b+c=38 and a^2+b^2+c^2=722
regards
Sujoy

 

[stapel]

What have you tried? How far have you gotten?

Eliz.

 

[sujoy]

here is what I got:
a+b+c=38
[a+b+c]^2 = a^2+b^2+c^2+2{ab+bc+ca}= [38]^2
again 722 = 19*19*2...... next? what to be done

 

[stapel]

If (a + b + c)² = (a² + b² + c² + 2(ab + bc + ac) = 1444, and a² + b² + c² = 722, then subtracting gives you that 2(ab + bc + ac) = 1444 - 722 = 722, and ab + bc + ac = 361 = 19².

Does that help at all?

Eliz.

 

[happy]

Hey, Sujoy, could you please not assume everyone replying to you is a "Sir".

Thanks

 

[stapel]

Now, now, happy; no need getting offended by this particular aspect of Indian culture. It's how he's been taught to address people (assuming sujoy is a "he"), and he means it to be polite. Take it in the spirit it's being offered. And if you'd prefer he address you in some other manner, gently say so. I wouldn't be surprised but what he falls all over himself doing as you ask.

And, for the record, this particular "she" doesn't mind being addressed as "sir". Just make sure you salute when you say it. :wink:

Eliz.

 

[happy]

Can you ever forgive me? For the record, I am also Indian. :wink:

 

[Denis]

sujoy, please address me as Sir Deniscelot.

[...and if anybody calls Eliz "Sir", I'll challenge him to a horseback duel
in the vicinity of the Palace, at the mouth of the drawbridge, while Eliz
is watching from the top window of the Tower, waving a polkadot hanky
and yelling "ohhhhhhhh My Hero!"]

 

[Daniel_Feldman]

^But what if you lose?




Yeesh, talk about screwing up a perfect moment.

 

[stapel]

No way, dude: I ain't hangin' out on no drawbridge. Don't need nobody defendin' me.

I'm gonna snag me one o' them horsies, grab my 9-mil, and... Y'all are so callin' me "Sir" by the time I be done! :lol:

Eliz.

 

[happy]

That really can't be you writing that message, Stapel?

 

[sujoy]

Good day
I never expect anyone from the message board to address me as
SIR
my purpose of addressing all of you as sir is that it is a respectable
way of addressing........after all how do refer to your tutors :?:
however if you dislike it in any way, I ought to address you as you please
-------basically my intention is to convey my respect as I send any query
& Iwas pretty ignorant of this way of calling you
thanks

 

[stapel]

I never expect anyone from the message board to address me as SIR

You're female? (Because if you're male, then "sir", in lieu of your name, should be fine, right? Respect can go both ways, ya know!)

my purpose of addressing all of you as sir is that it is a respectable way of addressing.

I appreciate that. Please don't take our joking around to heart. Your intentions were good and your manners are fine.

That really can't be you writing that message, Stapel?

Why ever not? :wink:

Eliz.

 

[tkhunny]

Why ever not? :wink:

Duh. In AZ, wouldn't you prefer a 0.45? A foreign job? Really.

 

[stapel]

In AZ, wouldn't you prefer a 0.45? A foreign job?

:shock: What does the location have to do with whether or not I can "handle" a certain sized piece? What do you mean by "a foreign job"? What does the manufacturer have to do with it, or with Arizona?

I don't get it....

Eliz.

 

[tkhunny]

What?! Foreigners have invaded the West?

Maybe someone left the Classic Movie chanel on last night and I have absorbed too many old westerns.

 

[Denis]

To save my soul I can't get a date,
Baby's got it tuned on channel eight.
Now TKHunny and the Big Cheyenne
They're comin' thru the T.V. shootin up the land.
Ah...um...my baby loves the Western movies.
My baby loves the Western movies,
Bam, bam, shoot 'em up Pow.
Ah..um..My babe loves the Western Movies.
I call my baby on the telephone
To tell her half my head was gone
I just got hit by a great big brick
Stapel says thanks for reminding me about that Maverick
Ah..um...my baby loves the Western movies.
My baby loves the Western movies,
Bam, bam, shoot em up pow.
Ah...um...
My baby loves the Western movies.
Well there's Jeremy Roller and Old Cochise
Jim Hardy, Jim Bowie and Sugarfoot.
They all have gun will travel
Give me back my boots and saddle uh huh.
Here's the story of the certain Wagon Train Mccord
A broken arrow has broken my heart.
A Jefferson Thomas with Bat Masterson
Unties my baby and the fight was won.
Ah..um...my baby loves the Western movies.
My baby loves the western movies.
Bam bam shoot em up pow.
Ah um, my baby loves the western movies.