document.write( "Question 94545: Please find all real values of k for which 3t^2-6t+k=0 \n" ); document.write( "
Algebra.Com's Answer #68887 by edjones(8007)\"\" \"About 
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Quadratic formula\"%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"
\n" ); document.write( "Let k=c in the formula
\n" ); document.write( "If\"b%5E2-4ak\"is negative then the answer will not be a real number because the square root of a negative number is not a real number.
\n" ); document.write( "a=3 b=-6 c=k
\n" ); document.write( "\"b%5E2=-6%5E2=36+\" so must be \"-4ak%3E=-36\".
\n" ); document.write( "\"-4%2A3%2Ak%3E=-36\"
\n" ); document.write( "\"-12k%3E=-36\"
\n" ); document.write( "divide both sides by -12. \"k%3C=3\"
\n" ); document.write( "So k must be greater than \"-infinity\"and less than or equal to 3
\n" ); document.write( "\"-infinity%3Ck%3E=3\"
\n" ); document.write( "EdJones
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