document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=937693>Question 937693</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve for x: <BR>\n" );
document.write( "7x^2 - 21x - 3 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #571101 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=571101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 7x^2 - 21x - 3 = 0<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=7, b=-21 and c=-3<BR>\n" );
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document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "7 -21 -3<BR>\n" );
document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
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document.write( "the quadratic has two real roots at:<BR>\n" );
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document.write( "x = 3.13663418<BR>\n" );
document.write( "x = -0.1366342<BR>\n" );
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document.write( "now solved by completing the square:<BR>\n" );
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document.write( "7xx - 21x - 3 = 0<BR>\n" );
document.write( "7xx - 21x = 3<BR>\n" );
document.write( "(7xx - 21x = 3)/7<BR>\n" );
document.write( "xx - 3x = 3/7<BR>\n" );
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document.write( "complete the square:<BR>\n" );
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document.write( "xx - 3x + (3/2)(3/2) = (3/7) + (3/2)(3/2)<BR>\n" );
document.write( "(x - 3/2)^2 = (3/7) + (9/4)<BR>\n" );
document.write( "(x - 3/2)^2 = (3*4/28) + (9*7/28)<BR>\n" );
document.write( "(x - 3/2)^2 = (75/28)<BR>\n" );
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document.write( "solve for x:<BR>\n" );
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document.write( "sqrt( (x - 3/2)^2 ) = sqrt(75/28)<BR>\n" );
document.write( "x - 3/2 = sqrt(75/28)<BR>\n" );
document.write( "x = (+ or -) sqrt(75/28) + 3/2<BR>\n" );
document.write( "x = +sqrt(75/28) + 3/2<BR>\n" );
document.write( "x = -sqrt(75/28) + 3/2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the quadratic has two real roots at:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 3.13663418<BR>\n" );
document.write( "x = -0.1366342<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Free algebra tutoring live chat:<BR>\n" );
document.write( "https://sooeet.com/chat.php?gn=algebra<BR>\n" );
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document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations with quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );