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find all natural numbers x such that x^2+x+7 is a complete square
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x=0 as its undefined
what?
@Diyadiya @Mimi_x3 @ParthKohli @lalaly check out this problem.....
1 is valid....
make that 6
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no hw 4...4^2+4+7=27...
yeah 6 is valid...
i think 1,6 are the only numbers but we have to prove that IF its true....
@satellite73 ....?
hint: \[x^2<x^2+x+7<(x+3)^2\]
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hw do we us e this? @Diyadiya @Mimi_x3 @apoorvk
@FoolForMath
@King what are the complete squares between x^2 and (x+3)^2
\[x^2<x^2+x+7<(x+3)^2 \\ then \ \ \ x^2+x+7=(x+1)^2 \ \ or \ \ x^2+x+7=(x+2)^2 \]
oh....
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nice....:D
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