document.write( "Question 1189683: Find all values of k that ensure that the given equation has exactly one solution. (Enter your answers as a comma-separated list.)\r
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Algebra.Com's Answer #821108 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Find all values of k that ensure that the given equation has exactly one solution. (Enter your answers as a comma-separated list.)
\n" ); document.write( "kx2 + 34x + k = 0
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document.write( "The necessary and sufficient condition is that the discriminant of the quadratic equation is zero\r\n" );
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document.write( "    d = b^2 - 4ac = 0,\r\n" );
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document.write( "or\r\n" );
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document.write( "    34^2 - 4k^2 = 0,\r\n" );
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document.write( "which gives\r\n" );
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document.write( "    k^2 = \r\n" );
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document.write( "    k   = +/-  = +/-  = +/- 17.\r\n" );
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document.write( "ANSWER.  There are two values of k satisfying the imposed condition:  k = 17  and  k = -17.\r\n" );
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