document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152365>Question 1152365</A>: <I><SPAN STYLE=\"word-break: break-all;\"> √(10-x)+√(3+x)+2√(30+7x-x^2)=17 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #774466 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=774466\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2810-x%29%2Bsqrt%283%2Bx%29%2B2sqrt%2830%2B7x-x%5E2%29=17 ALIGN=MIDDLE  ALT=\"sqrt%2810-x%29%2Bsqrt%283%2Bx%29%2B2sqrt%2830%2B7x-x%5E2%29=17\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2810-x%29%2Bsqrt%283%2Bx%29=17-2sqrt%2830%2B7x-x%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2810-x%29%2Bsqrt%283%2Bx%29=17-2sqrt%2830%2B7x-x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >......square both sides\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%2810-x%29%2Bsqrt%283%2Bx%29%29%5E2=%2817-2sqrt%2830%2B7x-x%5E2%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%2810-x%29%2Bsqrt%283%2Bx%29%29%5E2=%2817-2sqrt%2830%2B7x-x%5E2%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810-x%29%2B2sqrt%2810-x%29sqrt%283%2Bx%29%2B3%2Bx=289-68sqrt%2830%2B7x-x%5E2%29%2B4%2830%2B7x-x%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%28%2810-x%29%283%2Bx%29%29%2B13=289-68sqrt%2830%2B7x-x%5E2%29%2B120%2B28x-4x%5E2 ALIGN=MIDDLE  ALT=\"2sqrt%28%2810-x%29%283%2Bx%29%29%2B13=289-68sqrt%2830%2B7x-x%5E2%29%2B120%2B28x-4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%28%2810-x%29%283%2Bx%29%29=409%2B28x-4x%5E2-68sqrt%2830%2B7x-x%5E2%29-13 ALIGN=MIDDLE  ALT=\"2sqrt%28%2810-x%29%283%2Bx%29%29=409%2B28x-4x%5E2-68sqrt%2830%2B7x-x%5E2%29-13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%28%2810-x%29%283%2Bx%29%29=396%2B28x-4x%5E2-68sqrt%2830%2B7x-x%5E2%29+ ALIGN=MIDDLE  ALT=\"2sqrt%28%2810-x%29%283%2Bx%29%29=396%2B28x-4x%5E2-68sqrt%2830%2B7x-x%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........square both sides\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282sqrt%28%2810-x%29%283%2Bx%29%29%29%5E2=%28396%2B28x-4x%5E2-68sqrt%2830%2B7x-x%5E2%29%29%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2B28x-4x%5E2=16+x%5E4+-+224+x%5E3+%2B+544+sqrt%28-x%5E2+%2B+7+x+%2B+30%29%2A+x%5E2+-+7008+x%5E2+-+3808+sqrt%28-x%5E2+%2B+7+x+%2B+30%29%2A+x+-+53856+sqrt%28-x%5E2+%2B+7+x+%2B+30%29+%2B+54544+x+%2B+295536 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2B28x-4x%5E2-16+x%5E4+%2B+224+x%5E3%2B7008+x%5E2-54544+x+-295536=544+sqrt%28-x%5E2+%2B+7+x+%2B+30%29%2A+x%5E2-+3808+sqrt%28-x%5E2+%2B+7+x+%2B+30%29%2A+x+-+53856+sqrt%28-x%5E2+%2B+7+x+%2B+30%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16+x%5E4+%2B+224+x%5E3+%2B+7004+x%5E2+-+54516+x+-+295416=%28544x%5E2-+3808x%29+sqrt%28-x%5E2+%2B+7+x+%2B+30%29+-+53856+sqrt%28-x%5E2+%2B+7+x+%2B+30%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > .........square both sides\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-16+x%5E4+%2B+224+x%5E3+%2B+7004+x%5E2+-+54516+x+-+295416%29%5E2=%28%28544x%5E2-+3808x%29+sqrt%28-x%5E2+%2B+7+x+%2B+30%29+-+53856+sqrt%28-x%5E2+%2B+7+x+%2B+30%29+%29%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16+%284+x%5E4+-+56+x%5E3+-+1751+x%5E2+%2B+13629+x+%2B+73854%29%5E2+=+-295936+%28x+-+10%29+%28x+%2B+3%29+%28x%5E2+-+7+x+-+99%29%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=256+x%5E8+-+7168+x%5E7+-+173952+x%5E6+%2B+4882304+x%5E5+%2B+34086160+x%5E4+-+896006496+x%5E3+-+1166193072+x%5E2+%2B+32209797312+x+%2B+87270613056+=+-295936+x%5E6+%2B+6214656+x%5E5+%2B+23970816+x%5E4+-+843121664+x%5E3+-+1352131584+x%5E2+%2B+32608300032+x+%2B+87014062080 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=256+x%5E8+-+7168+x%5E7+-+173952+x%5E6+%2B+4882304+x%5E5+%2B+34086160+x%5E4+-+896006496+x%5E3+-+1166193072+x%5E2+%2B+32209797312+x+%2B+87270613056+%2B295936+x%5E6-+6214656+x%5E5+-23970816+x%5E4+%2B+843121664+x%5E3+%2B1352131584+x%5E2+-+32608300032+x+-+87014062080=0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56+x%5E8+-+7168+x%5E7+%2B121984+x%5E6-1332352+x%5E5%2B+10115344+x%5E4+-52884832+x%5E3%2B185938512+x%5E2+-+398502720+x%2B256550976=0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >..........factor\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16+%28x+-+6%29+%28x+-+1%29+%284+%28x+-+7%29+x+%2B+409%29+%28%28x+-+7%29+x+%284+%28x+-+7%29+x+%2B+297%29+%2B+6534%29+=+0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "real solutions:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+6%29=0 ALIGN=MIDDLE  ALT=\"%28x+-+6%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6+ ALIGN=MIDDLE  ALT=\"x=6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+1%29=0 ALIGN=MIDDLE  ALT=\"%28x+-+1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <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" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284+%28x+-+7%29+x+%2B+409%29+%28%28x+-+7%29+x+%284+%28x+-+7%29+x+%2B+297%29+%2B+6534%29=0 ALIGN=MIDDLE  ALT=\"%284+%28x+-+7%29+x+%2B+409%29+%28%28x+-+7%29+x+%284+%28x+-+7%29+x+%2B+297%29+%2B+6534%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >->   complex solutions:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+7%2F2+%2B+3i%2Asqrt%2810%29 ALIGN=MIDDLE  ALT=\"x+=+7%2F2+%2B+3i%2Asqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+7%2F2+-+3i%2Asqrt%2810%29 ALIGN=MIDDLE  ALT=\"x+=+7%2F2+-+3i%2Asqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%281%2F4+%29%2814+-+sqrt%28-398+-+66i%2Asqrt%2815%29%29%29 ALIGN=MIDDLE  ALT=\"x+=+%281%2F4+%29%2814+-+sqrt%28-398+-+66i%2Asqrt%2815%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%281%2F4+%29%2814+%2Bsqrt%28-398+-+66i%2Asqrt%2815%29%29%29 ALIGN=MIDDLE  ALT=\"x+=+%281%2F4+%29%2814+%2Bsqrt%28-398+-+66i%2Asqrt%2815%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%281%2F4+%29%2814+-+sqrt%28-398+%2B+66i%2Asqrt%2815%29%29%29 ALIGN=MIDDLE  ALT=\"x+=+%281%2F4+%29%2814+-+sqrt%28-398+%2B+66i%2Asqrt%2815%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );