document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=95525>Question 95525</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello!\r<BR>\n" );
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document.write( "I have tried working this problem but when I checked my answer it did not work with the problem.  Here is the problem:\r<BR>\n" );
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document.write( "Solve the following equations algebraically:\r<BR>\n" );
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document.write( "sqrt(2x+3)-sqrt(x+7)=1\r<BR>\n" );
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document.write( "Here is my work:\r<BR>\n" );
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document.write( "I squared both sides to give me\r<BR>\n" );
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document.write( "2x+3-x+7=1\r<BR>\n" );
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document.write( "Next I added like terms to get x+10=1\r<BR>\n" );
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document.write( "I brought over the 1 to give me x=9\r<BR>\n" );
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document.write( "I must be doing something wrong.  Any help will be appreicated.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #69557 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=69557\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sqrt(2x+3)-sqrt(x+7)=1 <BR>\n" );
document.write( "Square both sides to get:<BR>\n" );
document.write( "(2x+3) - 2sqrt[(2x+3)(x+7)] +(x+7) = 1<BR>\n" );
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document.write( "Simplify:<BR>\n" );
document.write( "(3x+10) - 2sqrt[.....] = 1<BR>\n" );
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document.write( "Isolate the sqrt term:<BR>\n" );
document.write( "-2sqrt[.....} = 1-3x-10<BR>\n" );
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document.write( "Simplify:<BR>\n" );
document.write( "-2sqrt[..........] = -(3x+9)<BR>\n" );
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document.write( "Square both sides to get:<BR>\n" );
document.write( "4(2x+3)(x+7) = 9x^2+54x+81<BR>\n" );
document.write( "4(2x^2+17x+21) = 9x^2+54x+81<BR>\n" );
document.write( "8x^2+68x+84 = 9x^2+54x+81<BR>\n" );
document.write( "x^2-14x-3=0<BR>\n" );
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document.write( "Use the quadratic formula:<BR>\n" );
document.write( "x = [14+-sqrt(14^2-4*-3)]/2<BR>\n" );
document.write( "x = [14 +- 14.42]/2<BR>\n" );
document.write( "x = 14.21... or x = -0.2111...<BR>\n" );
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document.write( "These answers need to be checked in the original equation as<BR>\n" );
document.write( "one or both may be extraneous.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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