document.write( "Question 1051371: Find the values of m for which the quadratic curve y = 3mx^2 + 2mx + 1 touches the x axis exactly once . \n" ); document.write( "

Algebra.Com's Answer #666894 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Answer. m = 3.\r
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document.write( "A necessary and sufficient condition is   = .\r\n" );
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document.write( "Comparing coefficients, it gives b = 1,  a = m,   = 3m,\r\n" );
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document.write( "which implies   = 3m  --->  m = 3.\r\n" );
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document.write( "Another solution m = 0 doesn't suit the condition.\r\n" );
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