<PRE><B>Question 901511</B>
Determine the value or values of d that complete the square for the expression. Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
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Perfect-square Form:: (x+y)^2 = x^2 + 2xy + y^2
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Notice::The 2nd term is the product of 2 times sqrt(1st term)*sqrt(last term)

 x^2 + dx + 64
2nd term = 2(sqrt(x^2))(sqrt(64)) = 2x*8 = 16x
Ans: x^2 + 16x + 64
d = 16
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and 
x^2 + dx + 49/4
2nd = 2(sqrt(x^2)*sqrt(49/4) = 2x*(7/2) = 7x
Ans: x^2 + 7x + (49/4)
d = 7
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Cheers,
Stan H.
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