document.write( "Question 883849: What is the maximum value of c such that the graph of the parabola (x^2)/3 has at most one point of intersection with the line x+c? \n" ); document.write( "

Algebra.Com's Answer #533804 by Fombitz(32388) $\"\"$ $\"About$

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$\"y=x%5E2%2F3\"$
\n" ); document.write( " $\"y=x%2Bc\"$
\n" ); document.write( " $\"x%5E2%2F3=x%2Bc\"$
\n" ); document.write( " $\"x%5E2%2F3-x-c=0\"$
\n" ); document.write( " $\"x%5E2-3x-3c=0\"$
\n" ); document.write( "One real root, the discriminant must equal zero.
\n" ); document.write( " $\"b%5E2-4ac=0\"$
\n" ); document.write( " $\"%28-3%29%5E2-4%281%29%28-3c%29=0\"$
\n" ); document.write( " $\"9%2B12c=0\"$
\n" ); document.write( " $\"12c=-9\"$
\n" ); document.write( " $\"c=-3%2F4\"$
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