What number would you add to the equation below to complete the square?

Alex Mulchinock asked Apr 21, 2023

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Alex Mulchinock asked Apr 21, 2023

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22 votes

Simplify the expression to obtain the completion of square.

$\begin{gathered} x^2+16x=0 \\ x^2+2\cdot8\cdot x+(8)^2=0+(8)^2 \\ x^2+2\cdot8\cdot x+64=64 \end{gathered}$

So 64 is added on both side of equation to obtain complete square.

Answer: 64.

Yoogeeks answered Apr 25, 2023

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