find two consecutive even intergers, sum of whose squares is 244.
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Step-by-step explanation:
Let the consecutive even integers be 2n and 2n+2
(2n)
2
+(2n+2)
2
=244
⇒8n
2
+8n+4=244
⇒n
2
+n−30=0
⇒(n+6)(n−5)=0
⇒n=5 (n can’t be negative)
The numbers are 10 and 12.
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