document.write( "Question 1085951: For what negative value of k is there exactly one solution to this system of equations?
\n" );
document.write( "y=2x^2+kx+6
\n" );
document.write( "y=-x+4 \n" );
document.write( "
Algebra.Com's Answer #700054 by rapture(86)![]() ![]() You can put this solution on YOUR website! Use the discriminant b^2 - 4ac. \r \n" ); document.write( "\n" ); document.write( "a = 2, b = k, c = 6 \r \n" ); document.write( "\n" ); document.write( "Set discriminant to 0 and solve for k. \r \n" ); document.write( "\n" ); document.write( "k^2 - 4(2)(6) = 0 \r \n" ); document.write( "\n" ); document.write( "k^2 - 8(6) = 0 \r \n" ); document.write( "\n" ); document.write( "k^2 - 48 = 0 \r \n" ); document.write( "\n" ); document.write( "k^2 = 48 \r \n" ); document.write( "\n" ); document.write( "sqrt{k^2} = sqrt{48} \r \n" ); document.write( "\n" ); document.write( "k = sqrt{16}sqrt{3} \r \n" ); document.write( "\n" ); document.write( "k = 4sqrt{3}, k = -4sqrt{3} \r \n" ); document.write( "\n" ); document.write( "The negative k value is -4sqrt{3}. \n" ); document.write( " |