+0  
 
-1
67
1
avatar

Find all quadruplets of real numbers (a,b,c,d) that satisfy

 

a + b = 11

b + c = 10

c + d = 13

d + a = 14

 Jun 9, 2020
 #1
avatar+1128 
+2

So we add 11+10+13+14 to get 48 which is 2 of a+b+c+d so we divide by 2 to get a+b+c+d=24 and to get the variables
a=14-d

b=-3+d

c=13-d

 

so we find that (a,b,c,d)=(7,4,6,7)

 Jun 9, 2020

13 Online Users

avatar