What are the two consecutive even integers whose squares have sum 340?

pienelis8n9

pienelis8n9

Answered question

2023-02-05

What are the two consecutive even integers whose squares have sum 340?

Answer & Explanation

tabuaa5q

tabuaa5q

Beginner2023-02-06Added 7 answers

Let the first even integer be 2x
Second even integer will be 2x + 2
The answer to the query is
( 2 x ) 2 + ( 2 x + 2 ) 2 = 340 4 x 2 + 4 x 2 + 4 + 8 x = 340 8 x 2 + 8 x 336 = 0 x 2 + x 42 = 0 x 2 + 7 x 6 x 42 = 0 x ( x + 7 ) 6 ( x + 7 ) = 0 ( x + 7 ) ( x 6 ) = 0 If  x = 7 2 x = 2 7 = 14 2 x + 2 = 2 7 + 2 = 14 + 2 = 12 If  x = 6 2 x = 2 6 = 12 2 x + 2 = 2 6 + 2 = 12 + 2 = 14

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