document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=812076>Question 812076</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use the discriminant to determine the number of real roots of each equation and then solve each equation using the quadratic formula. <BR>\n" );
document.write( "2t^2 + 1 = 6t </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #489039 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=489039\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2t^2 + 1 = 6t<BR>\n" );
document.write( "2t^2 - 6t + 1 = 0<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=2, b=-6, and c=1<BR>\n" );
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document.write( "from the quadratic formula the discriminant is: b^2 - 4ac<BR>\n" );
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document.write( "b^2 - 4ac<BR>\n" );
document.write( "(-6)^2 - 4(2)(1)<BR>\n" );
document.write( "36 - 8 = 28<BR>\n" );
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document.write( "Answer 1:<BR>\n" );
document.write( "since the discriminant > 0 the function has two real roots<BR>\n" );
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document.write( "to solve the above equation using the quadratic formula, plug this:<BR>\n" );
document.write( "2 -6 1<BR>\n" );
document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
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document.write( "Answer 2:<BR>\n" );
document.write( "the roots (solutions) of the above quadratic equation are:<BR>\n" );
document.write( "2.82287566<BR>\n" );
document.write( "0.177124344<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, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Convert fractions, decimals, and percents:<BR>\n" );
document.write( "https://sooeet.com/math/fraction-decimal-percent.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );