document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=459718>Question 459718</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve these radical equations.<BR>\n" );
document.write( "2x= sqrt(10x+6)<BR>\n" );
document.write( "sqrt(x+5)= 2x<BR>\n" );
document.write( "sqrt(2x-15)= x/4<BR>\n" );
document.write( "sqrt(2x-1)= x+8/2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #315302 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=315302\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=sqrt%2810x%2B6%29 ALIGN=MIDDLE  ALT=\"2x=sqrt%2810x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we squared both sides of equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%5E2=10x%2B6 ALIGN=MIDDLE  ALT=\"%282x%29%5E2=10x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, set the equation equal to zero <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-10x-6=0 ALIGN=MIDDLE  ALT=\"4x%5E2-10x-6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, using the \r<BR>\n" );
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document.write( "quadratic formula we find the roots of the equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2810%2B-sqrt%2810%5E2-4%2A4%2A%28-6%29%29%29%2F2%2A4=%2810%2B-sqrt%28196%29%29%2F8 ALIGN=MIDDLE  ALT=\"x=%2810%2B-sqrt%2810%5E2-4%2A4%2A%28-6%29%29%29%2F2%2A4=%2810%2B-sqrt%28196%29%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the roots are:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2810%2B14%29%2F8=3 ALIGN=MIDDLE  ALT=\"x=%2810%2B14%29%2F8=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2810-14%29%2F8=-1%2F2 ALIGN=MIDDLE  ALT=\"x=%2810-14%29%2F8=-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "After checking the roots we reject the root x=-1/2 because it doesn't satisfy the original equation.\r<BR>\n" );
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document.write( "Answer: The solution is x=3.\r<BR>\n" );
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document.write( "In the same way you can solve the other equations. </SPAN>\n" );
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