document.write( "Question 170893: Can you please help show me how to solve this quadratic equation by completing the square.\r
\n" );
document.write( "\n" );
document.write( "a^2 - 4a + 5 = 0 \n" );
document.write( "
Algebra.Com's Answer #126169 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! solve this quadratic equation by completing the square. \n" ); document.write( "a^2 - 4a + 5 = 0 \n" ); document.write( "--- \n" ); document.write( "a^2 - 4a + ? = -5 + ?\r \n" ); document.write( "\n" ); document.write( "a^2 -4a + (-4/2)^2 = -5 + (-4/2)^2\r \n" ); document.write( "\n" ); document.write( "a^2 - 4a + 4 = -5 + 4\r \n" ); document.write( "\n" ); document.write( "a^2 - 4a + 4 = -1\r \n" ); document.write( "\n" ); document.write( "(a-2)^2 = -1\r \n" ); document.write( "\n" ); document.write( "a-2 = i or a-2 = -i\r \n" ); document.write( "\n" ); document.write( "a = 2+i or a = 2-i \n" ); document.write( "====================== \n" ); document.write( "Comment: If you have not studied complex numbers the \n" ); document.write( "answer you would get would be \"no solution\". \n" ); document.write( "====================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |