making a perfect trimial square
n^2 +?+49
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Answered by
0
Answer:
The answer is 14N
Step-by-step explanation:
Given:
N^2+?+49N
2
+?+49
\textbf{To find:}To find:
\text{The missing term making a perfect trinomial square}The missing term making a perfect trinomial square
\textbf{Solution:}Solution:
\text{Consider,}Consider,
N^2+49N
2
+49
=N^2+7^2=N
2
+7
2
\text{To make it as a perfect square, add $14\,N$}To make it as a perfect square, add 14N
=N^2+14\,N+7^2=N
2
+14N+7
2
=N^2+2(N)(7)+7^2=N
2
+2(N)(7)+7
2
\text{Using the identity,}Using the identity,
\boxed{\bf\,(a+b)^2=a^2+b^2+2\,ab}
(a+b)
2
=a
2
+b
2
+2ab
=(N+7)^2\;\text{which is a perfect square}=(N+7)
2
which is a perfect square
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