document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=598873>Question 598873</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To the nearest degree, the values of x in the interval 0° &#8804; x < 360° that satisfy the equation 6 cos2 x – 7 cos x + 2 = 0 include all of the following except\r<BR>\n" );
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document.write( "a.)48<BR>\n" );
document.write( "b.)60<BR>\n" );
document.write( "c.)132<BR>\n" );
document.write( "4.)312 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #378731 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=378731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I vote for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28132%5Eo%29 ALIGN=MIDDLE  ALT=\"highlight%28132%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to be the choice that does not satisfy the equation.<BR>\n" );
document.write( "I believe the equation was supposed to be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%28cos%28x%29%29%5E2-7cos%28x%29%2B2=0 ALIGN=MIDDLE  ALT=\"6%28cos%28x%29%29%5E2-7cos%28x%29%2B2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To solve it, I would make <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%29=y ALIGN=MIDDLE  ALT=\"cos%28x%29=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > and solve<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6y%5E2-7y%2B2=0 ALIGN=MIDDLE  ALT=\"6y%5E2-7y%2B2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > whose solutions are both positive.<BR>\n" );
document.write( "Factoring, I get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283y-2%29%282y-1%29=0 ALIGN=MIDDLE  ALT=\"%283y-2%29%282y-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > with solutions <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%2F3 ALIGN=MIDDLE  ALT=\"y=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1%2F2 ALIGN=MIDDLE  ALT=\"y=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so I am looking for values of x (obviously in degrees) that will give me<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%29=1%2F2 ALIGN=MIDDLE  ALT=\"cos%28x%29=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%29=2%2F3 ALIGN=MIDDLE  ALT=\"cos%28x%29=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%2860%29=1%2F2 ALIGN=MIDDLE  ALT=\"cos%2860%29=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%5Eo ALIGN=MIDDLE  ALT=\"60%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > satisfies the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=312%5Eo=+362%5Eo-48%5Eo ALIGN=MIDDLE  ALT=\"312%5Eo=+362%5Eo-48%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28312%5Eo%29=cos%28-48%5Eo%29=cos%2848%5Eo%29 ALIGN=MIDDLE  ALT=\"cos%28312%5Eo%29=cos%28-48%5Eo%29=cos%2848%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > so those two values must satisfy the equation if just one of the four choices does not.<BR>\n" );
document.write( "I could verify to see if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%2848%5Eo%29=2%2F3 ALIGN=MIDDLE  ALT=\"cos%2848%5Eo%29=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but that would require a calculator.<BR>\n" );
document.write( "Besides I know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28312%5Eo%29=cos%28-48%5Eo%29=cos%2848%5Eo%29%3E0 ALIGN=MIDDLE  ALT=\"cos%28312%5Eo%29=cos%28-48%5Eo%29=cos%2848%5Eo%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > while<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28132%5Eo%29=cos%28180%5Eo-48%5Eo%29=-cos%2848%5Eo%29%3C0 ALIGN=MIDDLE  ALT=\"cos%28132%5Eo%29=cos%28180%5Eo-48%5Eo%29=-cos%2848%5Eo%29%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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