document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=819271>Question 819271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> [ Write the quadratic equation whose roots are 2 and -5 , and whose \"a\" coefficient in the standard form is 2 ] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #492991 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=492991\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "f(x) = ax^2 + bx + c<BR>\n" );
document.write( "f(x) = 2x^2 + bx + c<BR>\n" );
document.write( "---<BR>\n" );
document.write( "roots are 2 and -5:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "0 = 2(2)^2 + b(2) + c<BR>\n" );
document.write( "0 = 8 + 2b + c<BR>\n" );
document.write( "---<BR>\n" );
document.write( "0 = 2(-5)^2 + b(-5) + c<BR>\n" );
document.write( "0 = 50 - 5b + c<BR>\n" );
document.write( "c = 5b - 50<BR>\n" );
document.write( "---<BR>\n" );
document.write( "8 + 2b + c = 0<BR>\n" );
document.write( "8 + 2b + 5b - 50 = 0<BR>\n" );
document.write( "7b = 42<BR>\n" );
document.write( "---<BR>\n" );
document.write( "b = 6<BR>\n" );
document.write( "c = -20<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "f(x) = 2x^2 + 6x - 20<BR>\n" );
document.write( "---<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=2, b=6, and c=-20<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to solve the quadratic equation by using the quadratic formula, plug this:<BR>\n" );
document.write( "2 6 -20<BR>\n" );
document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the two real roots of the quadratic are:<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "x = -5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "exactly the given roots, so the result is correct<BR>\n" );
document.write( "---<BR>\n" );
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( "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" );