please answer the Q...................
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let x,x+1
after solving x=25.5
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1
Answer:
let n,n+2 be two consective even numbers
Given (n+2)
2
−n
2
=92
⇒(n+2n)(n+2+n)=92 [∵a
2
−b
2
=(a−b(a+b)]
⇒2(2n+2)=92
⇒2n+2=
2
92
⇒2n=46−2
⇒n=
2
44
⇒n=22.
∴(n+2)
2
+n
2
=(22+2)
2
+(22)
2
=(24)
2
+(22)
2
=576+484
1060.
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