document.write( "Question 208967: Hi all, I was hoping someone could show me how to solve the following quadratic equation:
\n" ); document.write( "I need to solve for t
\n" ); document.write( "0 = 3t^2 + 4t - 24
\n" ); document.write( "Help with full working and steps with notes would be most appreciated.
\n" ); document.write( "-nick. \n" ); document.write( "

Algebra.Com's Answer #158012 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
I need to solve for t\r
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "There are two ways, completing the square\r\n" );
document.write( "and quadratic formula.\r\n" );
document.write( "\r\n" );
document.write( "COMPLETING THE SQUARE:\r\n" );
document.write( "Get all variable terms on the left and\r\n" );
document.write( "the constant term on the right:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Divide through by the coefficient of \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Multiply coefficient of t by :  =\r\n" );
document.write( "Square that: \r\n" );
document.write( "Add 4/9 to both sides:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Factor left side, get LCD on the right:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Take square roots of both sides, remembering ą on the right\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Add  to both sides:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Break up 76 by observing that it can\r\n" );
document.write( "be divided by perfect square 4, so\r\n" );
document.write( "76=4*19\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So the two solutions are\r\n" );
document.write( "\r\n" );
document.write( " and \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "==================================\r\n" );
document.write( "\r\n" );
document.write( "QUADRATIC FORMULA\r\n" );
document.write( "\r\n" );
document.write( "The solution to  is\r\n" );
document.write( "\r\n" );
document.write( " \r\n" );
document.write( "\r\n" );
document.write( "with x=t, a=3, b=4, c=-24\r\n" );
document.write( "\r\n" );
document.write( "  \r\n" );
document.write( "\r\n" );
document.write( " \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Make two fractions:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Reduce the fractions by dividing top and bottom by 2:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So the two solutions are\r\n" );
document.write( "\r\n" );
document.write( " and \r\n" );
document.write( "\r\n" );
document.write( "Same answer.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );