document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=19278>Question 19278</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-3x%2B1=0 ALIGN=MIDDLE  ALT=\"2x%5E2-3x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the quadratic formula to solve the following. Leave irrational roots in the simplest radical form. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #9307 by </B><A HREF=/tutors/aboutme.mpl?userid=mmm4444bot><B>mmm4444bot(95)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mmm4444bot><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=9307\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello There:\r<BR>\n" );
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document.write( "Do you know what the quadratic formula is?  When you have a quadratic equation set equal to zero in the form:\r<BR>\n" );
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document.write( "a*x^2 + b*x + c = 0\r<BR>\n" );
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document.write( "where you're given the values of a, b, and c, then the formula allows you to find the values of x that make the equation true.\r<BR>\n" );
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document.write( "The quadratic formula is:  x = [-b +/- sqrt(b^2-4*a*c)]/[2*a]\r<BR>\n" );
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document.write( "2*x^2 - 3*x + 1 = 0\r<BR>\n" );
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document.write( "In your problem, a = 2, b = -3, and c = 1, so just substitute these values into the formula for a, b, and c.\r<BR>\n" );
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document.write( "x = [-(-3) +/- sqrt([-3]^2 - 4)]/[2*(2)]\r<BR>\n" );
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document.write( "x = [3 +/- sqrt(9 - 8)]/4\r<BR>\n" );
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document.write( "x = [3 +/- sqrt(1)]/4\r<BR>\n" );
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document.write( "x = (3 +/- 1)/4\r<BR>\n" );
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document.write( "So, there are two solutions:\r<BR>\n" );
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document.write( "x = (3 + 1)/4 and x = (3 - 1)/4\r<BR>\n" );
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document.write( "x = 4/4 and x = 2/4\r<BR>\n" );
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document.write( "x = 1 or x = 1/2\r<BR>\n" );
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document.write( "~ Mark<BR>\n" );
document.write( " </SPAN>\n" );
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