Question

PLEASE HELP! WILL GIVE MEDAL

Fill in the missing information in the problem to find square root of 175 by using the Babylonian method. Let 10.5 be your initial guess.

Answer 1

that is a really really lousy first guess

Answer 2

\[10^2=000\\
11^2=121\\
12^2=144\\
13^2=169\]

Answer 3

you want \(\sqrt{175}\) start with \(13\) it is much much closer than \(10.5\) a very dumb far away guess

Answer 4

wanna do it with 13?

Answer 5

okay haha well they used 10.5 in the question

Answer 6

sure

Answer 7

idiots
ok well with the first guess of \(10.5\) the second guess will be
\[\frac{1}{2}\left(10.5+\frac{175}{10.5}\right)\]

Answer 8

if the first guess is 13 the second guess will be
\[\frac{1}{2}\left(13+\frac{175}{13}\right)\]

Answer 9

either way you probably want to use a calculator

Answer 10

ok

Answer 11

course i am not sure what the "missing information" is you are supposed to fill in

Answer 12

they gave me this too i dont know if you can see it
http://static.k12.com/eli/ecollege/594/2_29504/2_31311_7_29512/cb44ef6c0ada6834928319b9fd1819699853cd04/media/d5c008a1e451ab47f5d708640b6dec7987680e7a/mathml_06a00ec68b9485d1e434aecc47e3509521eb7c25_1.gif

Answer 13

ok i think there was a typo in your question
i bet it said
find \(\sqrt{170}\) with an initial guess of \(13.5\) which makes a lot more sense

Answer 14

oh well thats how they gave me the question just like i wrote it

Answer 15

but i think they did do a typo lol wow

Answer 16

the set up is for the question i wrote
the answer is
\[\frac{13.5+\frac{170}{13.5}}{2}\]

Answer 17

i.e. put a \(13.5\) where you see the question mark

Answer 18

ok