document.write( "Question 1209267: Find the largest integer k such that the equation
\n" );
document.write( "5x^2 - kx + 8 + 8x^2 - 17 = 0
\n" );
document.write( "has no real solutions. \n" );
document.write( "
Algebra.Com's Answer #848007 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Find the largest integer k such that the equation \n" ); document.write( "5x^2 - kx + 8 + 8x^2 - 17 = 0 \n" ); document.write( "has no real solutions. \n" ); document.write( "~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Reduce to the standard form quadratic equation by combining like terms\r\n" ); document.write( "\r\n" ); document.write( " 13x^2 - kx - 9 = 0.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Write the discriminant\r\n" ); document.write( "\r\n" ); document.write( " d = (-k)^2 - 4*13*(-9) = k^2 + 468.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Discriminant is always positive at any real value of \"k\".\r\n" ); document.write( "Therefore, given equation has real solution at any value of \"k\".\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The given assignment is intently written in the form to confuse a reader.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |