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What number would you add to both sides of x2 + 7x = 4 to complete the square?2²0 72이를즐이

User Hoa Le
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1 Answer

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To complete the square, we want a number such that:


\begin{gathered} 2√(a)=7 \\ a=((7)/(2))^2 \end{gathered}

because in this way we can writte the square as follows:


\begin{gathered} x^2+7x+((7)/(2))^2=4+((7)/(2))^2 \\ (x+(7)/(2))^2=4+((7)/(2))^2 \end{gathered}

Hence the answer is the last option:


((7)/(2))^2

User Jaydeep Shil
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