document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=729504>Question 729504</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't understand how to continue this problem. The problem is:<BR>\n" );
document.write( "10x^2+10=8-6x<BR>\n" );
document.write( "I know that I have to subtract the 8 then the -6x to get 0<BR>\n" );
document.write( "I got:<BR>\n" );
document.write( "10x^2+6x+2=0<BR>\n" );
document.write( "From there, would I have to do the quadratic formula? Because the number you have to square root it by is a negative number and we haven't learned that yet. I tried factoring but I got:<BR>\n" );
document.write( "5x^2+3x+1=0 <BR>\n" );
document.write( "What do I do from here? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #445913 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=445913\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you did good job, now just use quadratic formula to solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2%2B3x%2B1=0 ALIGN=MIDDLE  ALT=\"5x%5E2%2B3x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >..note that coefficient <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=5 ALIGN=MIDDLE  ALT=\"a=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3 ALIGN=MIDDLE  ALT=\"b=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=1 ALIGN=MIDDLE  ALT=\"c=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<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;\" >...plug coefficients in\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-3+%2B-+sqrt%28+3%5E2-4%2A5%2A1+%29%29%2F%282%2A5%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-3+%2B-+sqrt%28+3%5E2-4%2A5%2A1+%29%29%2F%282%2A5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-3+%2B-+sqrt%28+9-20%29%29%2F10+ ALIGN=MIDDLE  ALT=\"x+=+%28-3+%2B-+sqrt%28+9-20%29%29%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-3+%2B-+sqrt%28+-11%29%29%2F10+ ALIGN=MIDDLE  ALT=\"x+=+%28-3+%2B-+sqrt%28+-11%29%29%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >......you have sqrt of negative number and that means there is no real solutions only imaginary and graph will not intersect with x-axis, and solutions are complex numbers  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-3+%2B-+sqrt%28+-11%29%29%2F10+ ALIGN=MIDDLE  ALT=\"x+=+%28-3+%2B-+sqrt%28+-11%29%29%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >......write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-11%29 ALIGN=MIDDLE  ALT=\"sqrt%28-11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-1%2A11%29 ALIGN=MIDDLE  ALT=\"sqrt%28-1%2A11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-3+%2B-+sqrt%28+-1%2A11%29%29%2F10+ ALIGN=MIDDLE  ALT=\"x+=+%28-3+%2B-+sqrt%28+-1%2A11%29%29%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >...since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-1%29=i ALIGN=MIDDLE  ALT=\"sqrt%28-1%29=i\"   DISABLED_style= \"max-width:90%; height:auto;\" > we have\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-3+%2B-+sqrt%2811%29i%29%2F10+ ALIGN=MIDDLE  ALT=\"x+=+%28-3+%2B-+sqrt%2811%29i%29%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-3+%2B-+3.32i%29%2F10+ ALIGN=MIDDLE  ALT=\"x+=+%28-3+%2B-+3.32i%29%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-3+%2B+3.32i%29%2F10+ ALIGN=MIDDLE  ALT=\"x+=+%28-3+%2B+3.32i%29%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-3%2F10+%2B+3.32i%2F10+ ALIGN=MIDDLE  ALT=\"x+=+-3%2F10+%2B+3.32i%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "or\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-3+-+3.32i%29%2F10+ ALIGN=MIDDLE  ALT=\"x+=+%28-3+-+3.32i%29%2F10+\"   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+=+-3%2F10+-3.32i%2F10+ ALIGN=MIDDLE  ALT=\"x+=+-3%2F10+-3.32i%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-5%2C5%2C+-5%2C+10%2C5x%5E2%2B3x%2B1%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-5%2C5%2C+-5%2C+10%2C5x%5E2%2B3x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );