document.write( "Question 1029520: The solutions of x(3x-7)=-3 may be expressed in the form (m+sqrt(n))/(p) and (m-sqrt(n))/(p), where m, n, and p have a greatest common divisor of 1. Find m+n+p. \n" ); document.write( "

Algebra.Com's Answer #644667 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%283x-7%29=-3\"$
\n" ); document.write( " $\"3x%5E2-7x%2B3=0\"$
\n" ); document.write( " $\"3%28x%5E2-%287%2F3%29x%29%2B3=0\"$
\n" ); document.write( " $\"3%28x%5E2-%287%2F3%29x%2B%287%2F6%29%5E2%29%2B3=3%287%2F6%29%5E2\"$
\n" ); document.write( " $\"3%28x-7%2F6%29%5E2%2B3=3%2849%2F36%29\"$
\n" ); document.write( " $\"3%28x-7%2F6%29%5E2=147%2F36-108%2F36\"$
\n" ); document.write( " $\"3%28x-7%2F6%29%5E2=39%2F36\"$
\n" ); document.write( " $\"%28x-7%2F6%29%5E2=13%2F36\"$
\n" ); document.write( " $\"x-7%2F6=0+%2B-+sqrt%2813%29%2F6\"$
\n" ); document.write( " $\"x=7%2F6+%2B-+sqrt%2813%29%2F6\"$
\n" ); document.write( " $\"x=%287+%2B-+sqrt%2813%29%29%2F6\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"m=7\"$
\n" ); document.write( " $\"n=13\"$
\n" ); document.write( " $\"p=6\"$
\n" ); document.write( " $\"highlight%28m%2Bn%2Bp=26%29\"$
\n" ); document.write( " \n" ); document.write( "

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