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oops meant to write x

one sec

\[2L+W=x \\ A=LW=L(x-2L)\]

So we want to find A' here

yes, then??

still processing?

Why are you doing calculus 1 problems?

oh, is it calculus problem??

Yes it is an optimization problem

Question: why do you link to derivative?

because it say to maximize

I assume it is an algebra problem and get no outlet

usually those in the cal problems I have seen they actually gave a number instead of saying x

I am prepare for my GRE test for maths major students. ha!!!

My tough one is English, not math.

except as I said they say 500 feet instead of x feet

Any tips for GRE math practice?? I have only 1. :)

solve for x+y
\[x^2+y^2+2xy+2x+2y=-1 \]

that question isn't too bad
did you want me to show you how to do it
or did you want to try it first

show me, please

\[x^2+2xy+y^2+2x+2y+1=0 \\ (x+y)^2+2(x+y)+1=0 \\ (x+y+1)^2=0 \\ x+y+1=0 \\ x+y=-1 \]

I turned it into a quadratic in terms of (x+y)

What if we let x+y =t??

oh, yea, we met there

Sure. Again, thanks for the help.

np

What is the units digit in standard decimal expansion of the number 7^(25)
I don't get what it mean

To this problem, if I don't have calculator, how can I find out the answer?

so you are trying to find out the length of the number 7^(25) ?

problem 14 https://www.ets.org/s/gre/pdf/practice_book_math.pdf

on

oh*

the units digit is the ones digit

answer is 1

total??

nope, answer is 7

wait standard notation is not scientific notation is it ?

I am not sure.

7^(25) mod 10 will give you number in 1's digit

or aka units digit

the units digit is the first number
it is the one's digit
that is what that picture above says also

oh I think I see where you are getting confused

\[7^{25} = 1.34106862 *10^{21} \]
you think this equality is exact when it is not

like you still need to move that decimal to the right like 21 times

2 is not in the one's digit

http://www.wolframalpha.com/input/?i=7%5E25+

the number where it says result is the number in standard notation

oooooooooooooooooh!! got you

a mod 10
should always give you the units digit of a

yah

Thanks a ton. :) I do appreciate.

np

I don't remember linear algebra or number theory on it

but maybe there was some