Problem

What is the missing constant term in the perfect square that starts with \( x^{2}+14 x ? \)

Answer

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Answer

\( a^{2} = 49 \)

Steps

Step 1 :\( (x + a)^{2} = x^{2} + 2ax + a^{2} \)

Step 2 :\( 2a = 14 \)

Step 3 :\( a = 7 \)

Step 4 :\( a^{2} = 49 \)

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