SOLUTION: HELP NEEDED! :) Find the values for a,b,c,d,e if, ab=1 bc=2 cd=3 de=4 ea=6 Thank you!

Algebra ->  Expressions-with-variables -> SOLUTION: HELP NEEDED! :) Find the values for a,b,c,d,e if, ab=1 bc=2 cd=3 de=4 ea=6 Thank you!      Log On


   

Question 953028: HELP NEEDED! :)
Find the values for a,b,c,d,e if,
ab=1 bc=2 cd=3 de=4 ea=6
Thank you!
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
ab=1 bc=2 cd=3 de=4 ea=6
ab=1; b=1%2Fa
bc=2; c=2%2Fb=2a
cd=3; d=3%2Fc=3%2F2a
de=4; e=4%2Fd=4%2A2a%2F3=8a%2F3
ea=6 %288a%2F3%29%2Aa=6
%288%2F3%29a%5E2=6 Multiply each side by3%2F8
a%5E2=18%2F8
a%5E2=9%2F4 Find the square root of each side.
a=3%2F2 OR a=-3%2F2 ANSWER 1
b=1%2F%283%2F2%29=2%2F3 OR b=1%2F%28-3%2F2%29=-2%2F3 ANSWER 2
c=2%283%2F2%29=3 OR c=2%28-3%2F2%29=-3 ANSWER 3
d=%283%2F2%29%282%2F3%29=1 OR d=%283%2F2%29%28-2%2F3%29=-1 ANSWER 4
e=8a%2F3=%288%2F3%29%283%2F2%29=4 OR %288%2F3%29%28-3%2F2%29=-4 ANSWER 5
You can check by multiplying all the pairs.