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Find a, b, c, d, e if

 

ab = 1

bc = 2

cd = 3

de = 4

ea = 5

 Feb 5, 2021
 #1
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ab = 1

bc = 2

cd = 3

de = 4

ea = 5

 

Divde  the  second equation by the first

c/a  = 2      ⇒  c = 2a  ⇒  c/2   =a

Divide the fourth equation by the third

e/c = 4/3   ⇒  e  = (4/3)c 

 

Sub  these into the fifth equation

 

ea  = 5

(4/3)c * c/2  =   5

(4/6)c^2  =  5

(2/3) c^2  =  5

c^2  =  (5 * 3)  /2  =  7.5

c =  sqrt (7.5)

e  =  (4/3) sqrt (7.5)

a = sqrt (7.5) / 2

b =  2 /(sqrt (7.5)

d  = 3/ sqrt (7.5)

 

cool cool cool

 Feb 5, 2021

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