We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
394
1
avatar

The number of pairs of integers (x,y) that satisfy both x^2 + y^2 <_ 36 and y = x-4

 Jan 14, 2018
 #1
avatar+102379 
+2

x^2  +  y^2  ≤  36   (1)

y  =  x  - 4     (2)

 

Look at the graph, here  : https://www.desmos.com/calculator/leyhcfzzep

 

The integer pairs that make this true  are  :

 

(-1, -5)   (0, -4)  (1, -3)  (2, -2)  ( 3, -1)   ( 4, 0)   ( 5, 1)

 

 

 

cool cool cool

 Jan 15, 2018

13 Online Users