document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79106>Question 79106</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to solve for w and find the solution set for the following: Sqrt (5w-1) = w-3. I multiplied both sides by sqrt (5w-1) and got (5w-1) = w-3(sqrt (5w-1). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56766 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=56766\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need to solve for w and find the solution set for the following: Sqrt (5w-1) = w-3. I multiplied both sides by sqrt (5w-1) and got (5w-1) = w-3(sqrt (5w-1).\r<BR>\n" );
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document.write( "At least you gave it a shot but you don't want to multiply both sides by the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285w-1%29 ALIGN=MIDDLE  ALT=\"sqrt%285w-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > although it is a legal operation.  You want to square both sides, in other words:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%285w-1%29%29%5E2=%28w-3%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%285w-1%29%29%5E2=%28w-3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285w-1%29=w%5E2-6w%2B9 ALIGN=MIDDLE  ALT=\"%285w-1%29=w%5E2-6w%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > subtract (5w-1) from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=w%5E2-6w-5w%2B9%2B1 ALIGN=MIDDLE  ALT=\"0=w%5E2-6w-5w%2B9%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > collect like terms and rearrange\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2-11w%2B10=0 ALIGN=MIDDLE  ALT=\"w%5E2-11w%2B10=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  quadratic in standard form and it can be factored.  The factors are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-10%29%28x-1%29=0 ALIGN=MIDDLE  ALT=\"%28x-10%29%28x-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=10 ALIGN=MIDDLE  ALT=\"x=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "When you are dealing with a quadratic and the A coefficient is 1, then the B coefficient will be the sum of the factors of the C coefficient, if the quadratic is factorable. \r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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