document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=19277>Question 19277</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-4x-5=0 ALIGN=MIDDLE  ALT=\"3x%5E2-4x-5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > I'm supposed to use the quadratic formula to solve the following and leave the 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 #9308 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=9308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello There:\r<BR>\n" );
document.write( "\n" );
document.write( "The quadratic formula solves equations in the form of:\r<BR>\n" );
document.write( "\n" );
document.write( "a*x^2 + b*x + c = 0  when you're given the values of a, b, and c.\r<BR>\n" );
document.write( "\n" );
document.write( "In your equation we have a = 3, b = -4, and c = -5.\r<BR>\n" );
document.write( "\n" );
document.write( "The quadratic formula is:\r<BR>\n" );
document.write( "\n" );
document.write( "x = [-b +/- sqrt(b^2 - 4*a*c)]/[2*a]\r<BR>\n" );
document.write( "\n" );
document.write( "Substitute the given values for a, b, and c.\r<BR>\n" );
document.write( "\n" );
document.write( "x = [-(-4) +/- sqrt(4^2 - 4*3)]/[2*3]\r<BR>\n" );
document.write( "\n" );
document.write( "x = [4 +/- sqrt(16 + 60)]/6\r<BR>\n" );
document.write( "\n" );
document.write( "x = [4 +/- sqrt(76)]/6\r<BR>\n" );
document.write( "\n" );
document.write( "Since 76 = 2*2*19, the square root of 76 simplifies to 2*sqrt(19)\r<BR>\n" );
document.write( "\n" );
document.write( "x = [4 +/- 2*sqrt(19)]/6\r<BR>\n" );
document.write( "\n" );
document.write( "There are two solutions.\r<BR>\n" );
document.write( "\n" );
document.write( "x = 4/6 + 2*sqrt(19)/6 and x = 4/6 - 2*sqrt(19)/6\r<BR>\n" );
document.write( "\n" );
document.write( "x = 2/3 + sqrt(19)/3\r<BR>\n" );
document.write( "\n" );
document.write( "x = 2/3 - sqrt(19)/3\r<BR>\n" );
document.write( "\n" );
document.write( "~ Mark<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );