document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118442>Question 118442</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Algebraically determine the exact roots of each equation.<BR>\n" );
document.write( "a) sqrt7x-2/sqrt2x = sqrt2x/sqrt7x+2\r<BR>\n" );
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document.write( "I got 7x^2-4=2x<BR>\n" );
document.write( "      7x^2-4-2x^2=0<BR>\n" );
document.write( "      5x^2-4=0<BR>\n" );
document.write( "      x=sqrt4/5 My teacher marked it wrong .<BR>\n" );
document.write( "b)4/x+1 - x+3/x-2 = -5<BR>\n" );
document.write( "    I got x= -5+or- 311i/8 Also marked wrong. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86562 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=86562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Algebraically determine the exact roots of each equation.<BR>\n" );
document.write( "a) sqrt7x-2/sqrt2x = sqrt2x/sqrt7x+2 <BR>\n" );
document.write( "I got 7x^2-4=2x<BR>\n" );
document.write( "7x^2-4-2x^2=0<BR>\n" );
document.write( "5x^2-4=0<BR>\n" );
document.write( "x=sqrt4/5 My teacher marked it wrong .<BR>\n" );
document.write( "b)4/x+1 - x+3/x-2 = -5<BR>\n" );
document.write( "I got x= -5+or- 311i/8 <BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "a) sqrt(7x-2)/sqrt2x = sqrt2x/sqrt(7x+2)<BR>\n" );
document.write( "Cross-multiply to get:<BR>\n" );
document.write( "sqrt(49x^2-4) = sqrt(4x^2)<BR>\n" );
document.write( "49x^2-4 = 4x^2<BR>\n" );
document.write( "45x^2 = 4<BR>\n" );
document.write( "x^2 = 4/45<BR>\n" );
document.write( "x = 2/3sqrt(5)<BR>\n" );
document.write( "x = 2sqrt(5)/15<BR>\n" );
document.write( "x = (2/15)sqrt(5)<BR>\n" );
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document.write( "b)4/(x+1) - (x+3)/(x-2) = -5<BR>\n" );
document.write( "Multiply thru by (x+1)(x-2) to get:<BR>\n" );
document.write( "4(x-2) - (x+3)(x+1) = -5(x-2)(x+1)<BR>\n" );
document.write( "4x-8 -[x^2+4x+3] = -5[x^2-x-2]<BR>\n" );
document.write( "4x-8-x^2-4x-3 = -5x^2+5x+10<BR>\n" );
document.write( "4x^2-5x-21=0<BR>\n" );
document.write( "x = [5 +- sqrt(25-4*4*-21)]/8<BR>\n" );
document.write( "x = [5 +- sqrt(361)]/8<BR>\n" );
document.write( "x = [5 +- 19]/8<BR>\n" );
document.write( "x = 3 or x = -7/4\r<BR>\n" );
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document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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