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What number completes the square? x2 + 10x + ? A. 10 B. 100 C. 20 D. 25
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D. 25
10x=2*x*a
Take 1/2 of the b coefficient 10 and then square it.
\[(a+b)^2=a^2+2ab+b^2\]
a^2 + 2ab+b^2 = (a+b)2 here a=x and 2ab=10 so 2xb=10x b=5 b^2=25
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(10/2)^2=25
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