document.write( "Question 1122375: Find the value ok kso that the equation 3x^2-(5+k)x - 17 = 0 will have equal roots roots.. \n" ); document.write( "
Algebra.Com's Answer #738489 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Discriminant equal 0.\r
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\n" ); document.write( "\n" ); document.write( "\"%28-%285%2Bk%29%29%5E2-4%2A3%2A%28-17%29=0\"
\n" ); document.write( "Simplify this and solve for k.\r
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\n" ); document.write( "\n" ); document.write( "\"%28-1%29%5E2%285%2Bk%29%5E2%2B12%2A17=0\"\r
\n" ); document.write( "\n" ); document.write( "\"k%5E2%2B10k%2B25-12%2A17=0\"\r
\n" ); document.write( "\n" ); document.write( "\"k%5E2%2B10k-179=0\", and 179 is a prime number;\r
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\n" ); document.write( "\n" ); document.write( "\"k=%28-10%2B-+sqrt%28100%2B4%2A%28179%29%29%29%2F2\", general solution for quadratic equation\r
\n" ); document.write( "\n" ); document.write( "\"k=%28-10%2B-+sqrt%28816%29%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"k=%28-10%2B-+sqrt%2816%2A51%29%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"k=%28-10%2B-+4%2Asqrt%2851%29%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28k=-5%2B-+2%2Asqrt%2851%29%29\"
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