document.write( "Question 1206190: What are the solutions to (x + 6)^2 = 36?\r
\n" ); document.write( "\n" ); document.write( "A. 6 and 0\r
\n" ); document.write( "\n" ); document.write( "B. -12 and 0\r
\n" ); document.write( "\n" ); document.write( "C. 6 and 36\r
\n" ); document.write( "\n" ); document.write( "D. 42 and 30 \n" ); document.write( "

Algebra.Com's Answer #843458 by ikleyn(52908) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "     Step by step\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    (x + 6)^2 = 36\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Take square root of both sides\r\n" );
document.write( "\r\n" );
document.write( "    x+6 = +/- 6.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Consider two cases in succession\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    (a)  x+6 = 6  --->    x= 0.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    (b)  x+6 = -6  --->  x= -12.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The two solutions are -12 and 0.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "---------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "This case is an example of a quadratic equation, which can be easily solved
\n" ); document.write( "without using the quadratic formula.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );