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Question

What must be added to 4x2+12x+5 to make it a perfect square?

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Solution

4x2+12x+5=4[x2+3x+(54)]=4[(x+(32)2(32)2+(54))]=4[(x+(32)2(44))]=4(x+(32)24)hence4mustbeaddedtomakeitperfectsquare.


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