document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59935>Question 59935</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 18. Solve\r<BR>\n" );
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document.write( "(rs)x-1=x-3\r<BR>\n" );
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document.write( "I have no idea on how to solve this problem and my head is beginning to hurt. Can someone help me please. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41131 by </B><A HREF=/tutors/aboutme.mpl?userid=chitra><B>chitra(359)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chitra><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=41131\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The given expression is: \r<BR>\n" );
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document.write( "rs(x - 1) = x - 3\r<BR>\n" );
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document.write( "We remove the radical on the left hand side by squaring both sides of the given expression.\r<BR>\n" );
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document.write( "That is:\r<BR>\n" );
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document.write( "(x - 1) = (x - 3)^2 \r<BR>\n" );
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document.write( "Expanding the right hand side by using the formula (a - b)^2, we get:\r<BR>\n" );
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document.write( "(x - 1) = x^2 - 6x + 9 \r<BR>\n" );
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document.write( "Adding 1 - x to both sides of the above equation, we get:\r<BR>\n" );
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document.write( "x^2 - 6x + 9 + 1 - x = 0 \r<BR>\n" );
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document.write( "x^2 - 7x + 10 = 0  [Adding the like terms, we get]\r<BR>\n" );
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document.write( "Using the method of Factorization, we get: \r<BR>\n" );
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document.write( "x^2 - 5x - 2x + 10 = 0 \r<BR>\n" );
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document.write( "x(x - 5) - 2(x - 5) = 0\r<BR>\n" );
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document.write( "(x - 2)(x - 5)  = 0 \r<BR>\n" );
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document.write( "Thus, the values of x are 2 and 5.\r<BR>\n" );
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