document.write( "Question 422040: I'm homeschooled and I can't seem to get the steps of this problem. My mom finally gave me the answer, but I still can't get the steps.\r
\n" );
document.write( "\n" );
document.write( "What are the solutions to the equation x^2 - 6x + 5 = -8?\r
\n" );
document.write( "\n" );
document.write( "The answer is:
\n" );
document.write( "3 + 2i and 3 - 2i\r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #294628 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! What are the solutions to the equation x^2 - 6x + 5 = -8? \n" ); document.write( ": \n" ); document.write( "Complete the square to solve this one \n" ); document.write( "x^2 - 6x + __ = -8 - 5 \n" ); document.write( ": \n" ); document.write( "x^2 - 6x + __ = -13 \n" ); document.write( ": \n" ); document.write( "To complete the square divide the coefficient of x by 2 and square it: 3^2 = 9 \n" ); document.write( "Add 9 to both sides \n" ); document.write( "x^2 - 6x + 9 = -13 + 9 \n" ); document.write( ": \n" ); document.write( "x^2 - 6x + 9 = -4 \n" ); document.write( "Which is \n" ); document.write( "(x - 3)^2 = -4 \n" ); document.write( ": \n" ); document.write( "Find the square root of both sides \n" ); document.write( "x - 3 = +/- \n" ); document.write( "remove the square root of -1; \"i\" \n" ); document.write( "x - 3 = +/- \n" ); document.write( "x - 3 = +/- 2i \n" ); document.write( "Two solutions \n" ); document.write( "x = 3 + 2i \n" ); document.write( "x = 3 - 2i \n" ); document.write( " |