document.write( "Question 1068660: A point ( $\"+3sqrt%285%29\"$ , d+3 ) is 3d units away from the origin. What is the smallest possible value of d? \n" ); document.write( "

Algebra.Com's Answer #683907 by Fombitz(32388) $\"\"$ $\"About$

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Use the distance formula to find the distance from the origin,
\n" ); document.write( " $\"D%5E2=%283sqrt%285%29-0%29%5E2%2B%28%28d%2B3%29-0%29%5E2\"$
\n" ); document.write( " $\"D%5E2=45%2B%28d%2B3%29%5E2\"$
\n" ); document.write( "But you know that $\"D=3d\"$
\n" ); document.write( " $\"9d%5E2=45%2Bd%5E2%2B6d%2B9\"$
\n" ); document.write( " $\"8d%5E2-6d-54=0\"$
\n" ); document.write( " $\"4d%5E2-3d-27=0\"$
\n" ); document.write( " $\"%284d%2B9%29%28d-3%29=0\"$
\n" ); document.write( "Only a positive d makes sense in this problem,
\n" ); document.write( " $\"d-3=0\"$
\n" ); document.write( " $\"d=3\"$
\n" ); document.write( " \n" ); document.write( "

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