document.write( "Question 805355: How would I solve:\r
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document.write( "Find the values for p for which the equation;
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document.write( "(p+3)x^2-12x+2p=0
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document.write( "has equal roots.
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document.write( "Thanks. \n" );
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Algebra.Com's Answer #485204 by mananth(16946)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In any quadratic equation if the roots are equal then \n" ); document.write( "\n" ); document.write( "compare the two equations\r \n" ); document.write( "\n" ); document.write( "a=(p+3), b=-12, c=2p\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(-12)^2-4(p+3)(2p)=0\r \n" ); document.write( "\n" ); document.write( "144-8p^2-24p=0\r \n" ); document.write( "\n" ); document.write( "Or\r \n" ); document.write( "\n" ); document.write( "8p^2+24p-144=0\r \n" ); document.write( "\n" ); document.write( "/8 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "p(p+6)-3(p+6)=0\r \n" ); document.write( "\n" ); document.write( "(p+6)(p-3)=0\r \n" ); document.write( "\n" ); document.write( "p=-6 OR 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |