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

Guest Jan 14, 2018
 #1
avatar+86890 
+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

CPhill  Jan 15, 2018

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