Questions on Algebra: Absolute value answered by real tutors!

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Question 1199314: How to see that a complete subfield F in Q_p with absolute value | |_p, is actually Q_p itself?
We have one inclusion: F\subset Q_p.
Trying to show that Q_p\subset F. Q_p is complete with respect to | |_p. take an element x in F\subset Q_p, so there exists a cauchy sequence x_n in Q_p such that x_n—>x.
But F id also complete so there exists y_n in F such that
y_n—>x, but then x_n=y_n, so can we say that Q_p\subset F and we're done?
Click here to see answer by textot(100) About Me 
Question 1209357: Let x, y, and z be nonzero real numbers. Find all possible values of
(x + y + z)/(|x| + |y| + |z|).
Click here to see answer by yurtman(42) About Me 
Question 1209356: Find all c such that |c + 5| - 3c = 10 + 2|c - 4| - 6|c|. Enter all the solutions, separated by commas.
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Question 1209364: What values of x satisfy |x - 4| + 2(x + 3) <= 11 + 5|x + 7| + 3x + 8.
Express your answer in interval notation.
Click here to see answer by greenestamps(13203) About Me 
Question 1209365: (1) Let a_1, a_2, a_3 be real numbers such that
|a_1 - a_2| + 2 |a_2 - a_3| + 3 |a_3 - a_1| = 1.
What is the largest possible value of |a_1 - a_2|?

(2) Let a_1, a_2, a_3, \dots, a_{10} be real numbers such that
|a_1 - a_2| + 2 |a_2 - a_3| + 3 |a_3 - a_4| + 4 |a_4 - a_5 | + \dots + 9 |a_9 - a_{10}| + 10 |a_{10} - a_1| = 1.
What is the largest possible value of |a_1 - a_6|?
Click here to see answer by ikleyn(52832) About Me 
Question 1209411: Find all solutions of the equation |x^2 - 30x - 1| = 30 + |6x - 2| + |x^2 - 20x - 4|.
Click here to see answer by Edwin McCravy(20060) About Me 
Question 1209411: Find all solutions of the equation |x^2 - 30x - 1| = 30 + |6x - 2| + |x^2 - 20x - 4|.
Click here to see answer by KMST(5328) About Me 
Question 1209411: Find all solutions of the equation |x^2 - 30x - 1| = 30 + |6x - 2| + |x^2 - 20x - 4|.
Click here to see answer by ikleyn(52832) About Me 
Question 1176244: In presidential elections, each state has a designated number of votes in the Electoral College, which are generally all cast for the candidate who won the popular vote in the state. The number of members of the Electoral College from each state is based on the number of Senators and House of Representatives.
a. If a presidential candidate is 42 votes ahead of his opponent before the votes for the state of California are added, what absolute value equation would represent the margin of votes between the candidate and his opponent after California’s 55 votes are cast?
b. What absolute value equation can be used to determine the minimum number of votes needed to change the outcome of the election in question 4?
Click here to see answer by CPhill(1959) About Me 
Question 1209849: a=30 b=40 c=?
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Question 1209850: Given that log_{4n} 40 sqrt(3) = log_{2n} 10, find n^4.
Click here to see answer by ikleyn(52832) About Me 
Question 1209891: Find all x for which
\Big| x - |x - 2| \Big| = \lfloor x \rfloor + \lfloor 2x \rfloor
Express your answer in interval notation.
Click here to see answer by CPhill(1959) About Me 
Question 1209891: Find all x for which
\Big| x - |x - 2| \Big| = \lfloor x \rfloor + \lfloor 2x \rfloor
Express your answer in interval notation.
Click here to see answer by ikleyn(52832) About Me 
Question 1209890: Find all real numbers x that satisfy the equation
|x + 4| + |x - 7| = 3x - 1 + |3x - 7|.
If you find more than one such value of x, list all of your solutions separated by commas. If you only find one solution, then just enter that solution.
Click here to see answer by CPhill(1959) About Me 
Question 1209890: Find all real numbers x that satisfy the equation
|x + 4| + |x - 7| = 3x - 1 + |3x - 7|.
If you find more than one such value of x, list all of your solutions separated by commas. If you only find one solution, then just enter that solution.
Click here to see answer by josgarithmetic(39623) About Me 
Question 1209903: Find the number of points of intersection between the graphs of the following equations: \begin{align*}
y = |2x + 5|,
y = -|3x - 2| + |4x - 7| + x.
Click here to see answer by CPhill(1959) About Me 
Question 1210247: |x − 5| = 3
Click here to see answer by greenestamps(13203) About Me