x²-y²=144 then x+y= when x and y are primes
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Step-by-step explanation:
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Step-by-step explanation:
x
2
=2y
2
+1
2y
2
+1 is an odd number. Therefore, x
2
is odd and so x is odd.
Let x=2k+1.Therefore,
x
2
=(2k+1)
2
=4k
2
+4k+1
or 4k
2
+4k+1=2y
2
+1
or 2y
2
=4k
2
+4k
i.e., y
2
is even or y is even; y is also prime. Therefore, y=2.
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