document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=78915>Question 78915</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131254502/algebrahomeworkh>Study Guide and practice workbook</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I can't seem to come up with the correct way to answer the problem                               C = &#8730;3c-8\r<BR>\n" );
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document.write( "c=(&#8730;3C-8)  the numbers in parentheses is all under the square root sign </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56586 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=56586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I interpret your problem to involve solving for c in the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+sqrt%283C+-+8%29 ALIGN=MIDDLE  ALT=\"C+=+sqrt%283C+-+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "square both sides to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5E2+=+3C+-+8 ALIGN=MIDDLE  ALT=\"C%5E2+=+3C+-+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "get this into the standard quadratic form by subtracting 3C - 8 from both sides so that the<BR>\n" );
document.write( "right side becomes zero.  With this subtraction you get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5E2+-+3C+%2B+8+=+0 ALIGN=MIDDLE  ALT=\"C%5E2+-+3C+%2B+8+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This does not factor nicely so use the quadratic formula to solve. In the quadratic <BR>\n" );
document.write( "formula you know that for an equation of the form:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2+%2B+bx+%2B+c+=+0 ALIGN=MIDDLE  ALT=\"ax%5E2+%2B+bx+%2B+c+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "the values of x that satisfy this equation (or in other words, the answers) are:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "For your problem x = C, and by comparison with the standard form, a = 1, b = -3, and c = 8.<BR>\n" );
document.write( "Substitute these values into the answer form and you get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2-4%2A1%2A8+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"C+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2-4%2A1%2A8+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "which simplifies to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+%283+%2B-+sqrt%289+-32%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"C+=+%283+%2B-+sqrt%289+-32%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and by working on the radical you get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+%283+%2B-+sqrt%28-23%29%29%2F2 ALIGN=MIDDLE  ALT=\"C+=+%283+%2B-+sqrt%28-23%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and by substituting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E2+=+-1 ALIGN=MIDDLE  ALT=\"i%5E2+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > under the radical the two answers become:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+%283%2B-i%2Asqrt%2823%29%29%2F2 ALIGN=MIDDLE  ALT=\"C+=+%283%2B-i%2Asqrt%2823%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope I interpreted the problem correctly and that this clarifies the problem for you.\r<BR>\n" );
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