+0  
 
0
51
1
avatar

One positive integer is 55 less than twice another. The sum of their squares is 185. Find the integers.

 Jun 18, 2021
 #1
avatar+120930 
+1

Let one integer =  x

Let  the other  =  2x  -  55

 

So

 

x^2   +  (2x  - 55)^2    =   185

 

5x^2  -  220x  +  3025   =185

 

5x^2  -220x  +   2840  =  0

 

The  discriminant    is

 

220^2   - 4 * 5 * 2840    =  -8400

 

So.......this has  no real solution

 

 

cool cool cool

 Jun 18, 2021

10 Online Users