document.write( "Question 1172131: Find all solutions to the equation $(x - 1)^2 = -4$. \n" ); document.write( "
Algebra.Com's Answer #797053 by ikleyn(52794)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "First, take the square root of both sides. You will get\r\n" ); document.write( "\r\n" ); document.write( " x - 1 = +/- 2i \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "in the complex domain, where \" i \" is the imaginary unit.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now add 1 to both sides to get the answer\r\n" ); document.write( "\r\n" ); document.write( " x = 1 +/- 2i.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. There are two complex roots in the complex domain, 1+2i and 1-2i.\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( " |