Question

Please heeeelp!

a+b+c+d+e=200
a^2+b^2+c^2+d^2+e^2=1870
Please find the value of e. I have no idea how to solve these equations. The actual problem is different, but I have narrowed it down to this.

Answer 1

@dmezzullo

Answer 2

i think this is an inequality and the problem wants u to find possible values of e

Answer 3

Hint: let \(x\) be a real number\[(a-x)^2+(b-x)^2+(c-x)^2+(d-x)^2+(e-x)^2=\]\[\ \ \ \ \ a^2+b^2+c^2+d^2+e^2-2(a+b+c+d+e)x+5x^2=1870-400x+5x^2\]

Answer 4

@Juliette32801
@robtobey
@satellite73

I reeally need help!

Answer 5

Ill try to help you.. Wait one sec and ill be on my way (:

Answer 6

Im sorry I dont know.. maybe some other question

Good Luck (:

Answer 7

Thanks:)

Answer 8

@amistre64
@dumbcow
@kropot72

Answer 9

Hmm. The only suggestion I could make is to solve each equation for e, then set them equal to each other. For example, from the first equation:
e=200-a-b-c-d

Answer 10

how do we know its been narrowed down correctly?

Answer 11

Well, the narrowing down was just normal division, which I obviously know

Answer 12

you have 2 equations in 5 unknowns; i see no way to pinpoint what "e" should be with this information

Answer 13

if the question is asking you to solve for e given some original information, your method at a solution may not be well suited to the task. But without knowing the original information ... we really cant ascertain that.

Answer 14

Actually, these equations have no solution in the real numbers. Note that the arithmetic mean of the five numbers is 2005=40 while the quadratic mean is 18705−−−−√=19.339…, contradicting the QM−AM inequality.