document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=696339>Question 696339</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find positive square root of equation 4x^2+ 7x = 15 complete square\r<BR>\n" );
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document.write( "Solving a Quadratic Equation by Completing the Square </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #428953 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=428953\">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=+4x%5E2%2B+7x+=+15++ ALIGN=MIDDLE  ALT=\"+4x%5E2%2B+7x+=+15++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+%287%2F4%29%2Ax+=+15%2F4+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+%287%2F4%29%2Ax+=+15%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is now in the right form to complete the square<BR>\n" );
document.write( "Take 1/2 of the co-efficient of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > term,<BR>\n" );
document.write( "square it, then add it to both sides.<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+%287%2F4%29%2Ax+%2B+%28+7%2F8%29%5E2+=+15%2F4+%2B+%287%2F8%29%5E2+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+%287%2F4%29%2Ax+%2B+%28+7%2F8%29%5E2+=+15%2F4+%2B+%287%2F8%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+%287%2F4%29%2Ax+%2B+49%2F64+=+240%2F64+%2B+49%2F64+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+%287%2F4%29%2Ax+%2B+49%2F64+=+240%2F64+%2B+49%2F64+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+%287%2F4%29%2Ax+%2B+49%2F64+=+289%2F64+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+%287%2F4%29%2Ax+%2B+49%2F64+=+289%2F64+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x+%2B+7%2F8+%29%5E2+=+%2817%2F8%29%5E2+ ALIGN=MIDDLE  ALT=\"+%28+x+%2B+7%2F8+%29%5E2+=+%2817%2F8%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the square root of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+7%2F8+=+17%2F8+ ALIGN=MIDDLE  ALT=\"+x+%2B+7%2F8+=+17%2F8+\"   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%2F8+ ALIGN=MIDDLE  ALT=\"+x+=+10%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+5%2F4+ ALIGN=MIDDLE  ALT=\"+x+=+5%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And also take the negative square root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2817%2F8%29%5E2+ ALIGN=MIDDLE  ALT=\"+%2817%2F8%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+7%2F8+=+-17%2F8+ ALIGN=MIDDLE  ALT=\"+x+%2B+7%2F8+=+-17%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-24%2F8+ ALIGN=MIDDLE  ALT=\"+x+=+-24%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-3+ ALIGN=MIDDLE  ALT=\"+x+=+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "The roots are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2F4+ ALIGN=MIDDLE  ALT=\"+5%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3+ ALIGN=MIDDLE  ALT=\"+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The factoring is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x+%2B+3+%29%2A%28+x+-+5%2F4+%29+=+4x%5E2+%2B+7x+-+15+ ALIGN=MIDDLE  ALT=\"+%28+x+%2B+3+%29%2A%28+x+-+5%2F4+%29+=+4x%5E2+%2B+7x+-+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x+%2B+3+%29%2A%28+x+-+5%2F4+%29+=+x%5E2+%2B+3x+-+%285%2F4%29%2Ax+-+15%2F4+ ALIGN=MIDDLE  ALT=\"+%28+x+%2B+3+%29%2A%28+x+-+5%2F4+%29+=+x%5E2+%2B+3x+-+%285%2F4%29%2Ax+-+15%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+3x+-+%285%2F4%29%2Ax+-+15%2F4++=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+3x+-+%285%2F4%29%2Ax+-+15%2F4++=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+ ALIGN=MIDDLE  ALT=\"+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x%5E2+%2B+12x+-+5x+-+15+=+0+ ALIGN=MIDDLE  ALT=\"+4x%5E2+%2B+12x+-+5x+-+15+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x%5E2+%2B+7x+-+15+=+0+ ALIGN=MIDDLE  ALT=\"+4x%5E2+%2B+7x+-+15+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "Here's the plot<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-5%2C+5%2C+-20%2C+5%2C+4x%5E2+%2B+7x+-+15+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-5%2C+5%2C+-20%2C+5%2C+4x%5E2+%2B+7x+-+15+%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" );