document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=720317>Question 720317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here is my problem.\r<BR>\n" );
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document.write( "[SQRT(x + 7)] - 2[SQRT(x)] =-2\r<BR>\n" );
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document.write( "OR\r<BR>\n" );
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document.write( "&#8730;(x + 7) - 2&#8730;(x) = -2 \r<BR>\n" );
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document.write( "-------\r<BR>\n" );
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document.write( "Now, the steps I took to solve this problem are to first square both sides:\r<BR>\n" );
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document.write( "[&#8730;(x + 7) - 2&#8730;(x)] * [&#8730;(x + 7) - 2&#8730;(x)] = 4\r<BR>\n" );
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document.write( "so then I FOIL the left side, resulting in:\r<BR>\n" );
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document.write( "(x+7) - [&#8730;(x + 7) * - 2&#8730;(x)] - [ - 2&#8730;(x) * &#8730;(x + 7)] + 4x\r<BR>\n" );
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document.write( "So then I thought to subtract (x+7) and (4x) to both sides\r<BR>\n" );
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document.write( " - [&#8730;(x + 7) * - 2&#8730;(x)] - [ - 2&#8730;(x) * &#8730;(x + 7)] = 4 - 4x - x - 7 (I think I'm supposed to switch the sign, because I've subtracted it and moved it to the opposite side, right?)\r<BR>\n" );
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document.write( "I think I'm correct up to this point, but now I have to square both sides again.<BR>\n" );
document.write( "I think this left hand side could be re-written as:\r<BR>\n" );
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document.write( " -2[&#8730;(x + 7) * - 2&#8730;(x)]\r<BR>\n" );
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document.write( "Is this right? I'm subtracting it from itself, a negative, which could simply multiplied by -2. Anyway, now I need to square this again, so I assume the -2 becomes a 4 and I FOIL them separately?<BR>\n" );
document.write( "FOILING the left side will get:\r<BR>\n" );
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document.write( " [&#8730;(x + 7) * - 2&#8730;(x)] * [&#8730;(x + 7) * - 2&#8730;(x)]\r<BR>\n" );
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document.write( "Which, when FOILed, looks like\r<BR>\n" );
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document.write( "(x+7) - [&#8730;(x+7) * -2&#8730;(x)] - [ - 2&#8730;(x) * &#8730;(x + 7)] + 4x\r<BR>\n" );
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document.write( "It looks exactly the same as before!! I'm just really confused by this problem, and I have a couple more like it, so I want to know if figuring this one out could help me solve the other ones.\r<BR>\n" );
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document.write( "I'm confused about FOILing the different sides, whether or not I can combine two square roots, and quite frankly, a lot of other things.<BR>\n" );
document.write( "One of the options on the test is 9, and I think this is the answer, because I've inserted it into the original equation and it works, but I'm just confused about how to actually get 9 out of this..\r<BR>\n" );
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document.write( "Sorry for the long question. I hope it's not hard to understand. I'm just hoping someone can walk me through all the steps of solving a problem like this so I can do it easily in the future. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #441762 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=441762\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> &#8730;(x + 7) - 2&#8730;(x) = -2 <BR>\n" );
document.write( "&#8730;(x+7)=2&#8730;x-2<BR>\n" );
document.write( "square both sides<BR>\n" );
document.write( "x+7=4x-8&#8730;x+4<BR>\n" );
document.write( "-3x+3=-8&#8730;x<BR>\n" );
document.write( "-3(x-1)=-8&#8730;x<BR>\n" );
document.write( "square both sides again<BR>\n" );
document.write( "9(x-1)^2=64x<BR>\n" );
document.write( "9(x^2-2x+1)=64x<BR>\n" );
document.write( "9x^2-18x+9-64x=0<BR>\n" );
document.write( "9x^2-82x+9=0<BR>\n" );
document.write( "solve for x using quadratic formula:<BR>\n" );
document.write( "x&#8776;0.1111..(reject, extraneous root)<BR>\n" );
document.write( "x=9<BR>\n" );
document.write( " </SPAN>\n" );
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