document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193896>Question 1193896</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the Quadratic Formula to solve the equation in the interval [0, 2𝜋). Then use a graphing utility to approximate the angle x. (Enter your answers as a comma-separated list. Round each answer to four decimal places.) (Four Answers)<BR>\n" );
document.write( "6 tan^2 x + 35 tan x − 49 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825954 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=825954\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "you can use factoring instead of the Quadratic Formula to solve the equation  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6tan%5E2%28+x%29+%2B+35tan+%28x%29+-49+=+0 ALIGN=MIDDLE  ALT=\"6tan%5E2%28+x%29+%2B+35tan+%28x%29+-49+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "let's <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan+%28x%29=u ALIGN=MIDDLE  ALT=\"tan+%28x%29=u\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6u%5E2+%2B+35u+-49+=+0 ALIGN=MIDDLE  ALT=\"6u%5E2+%2B+35u+-49+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >........factor\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6u%5E2+%2B+42u-7u+-49+=+0 ALIGN=MIDDLE  ALT=\"6u%5E2+%2B+42u-7u+-49+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286u%5E2+%2B+42u%29-%287u+%2B49%29+=+0 ALIGN=MIDDLE  ALT=\"%286u%5E2+%2B+42u%29-%287u+%2B49%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6u%28u+%2B+7%29-7%28u+%2B7%29+=+0 ALIGN=MIDDLE  ALT=\"6u%28u+%2B+7%29-7%28u+%2B7%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28u+%2B+7%29+%286u+-+7%29+=+0 ALIGN=MIDDLE  ALT=\"%28u+%2B+7%29+%286u+-+7%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >........substitute back <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan+%28x%29 ALIGN=MIDDLE  ALT=\"tan+%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28tan+%28x%29+%2B+7%29+%286tan+%28x%29+-+7%29+=+0 ALIGN=MIDDLE  ALT=\"%28tan+%28x%29+%2B+7%29+%286tan+%28x%29+-+7%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28tan+%28x%29+%2B+7%29++=+0 ALIGN=MIDDLE  ALT=\"%28tan+%28x%29+%2B+7%29++=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > =><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan+%28x%29+=-+7 ALIGN=MIDDLE  ALT=\"tan+%28x%29+=-+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=tan%5E-1%28-7%29 ALIGN=MIDDLE  ALT=\"x=tan%5E-1%28-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-tan%5E-1%287%29 ALIGN=MIDDLE  ALT=\"x=-tan%5E-1%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286tan+%28x%29+-+7%29+=+0 ALIGN=MIDDLE  ALT=\"%286tan+%28x%29+-+7%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > =><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6tan+%28x%29=+7 ALIGN=MIDDLE  ALT=\"6tan+%28x%29=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan+%28x%29=+7%2F6 ALIGN=MIDDLE  ALT=\"tan+%28x%29=+7%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=tan%5E-1%287%2F6%29 ALIGN=MIDDLE  ALT=\"x=tan%5E-1%287%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "in the interval [<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi ALIGN=MIDDLE  ALT=\"2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >), and since tan periodicity is<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+pi ALIGN=MIDDLE  ALT=\"+pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > we have following\r<BR>\n" );
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document.write( " solutions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+pi-tan%5E-1%287%29 ALIGN=MIDDLE  ALT=\"x+=+pi-tan%5E-1%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1.7127 ALIGN=MIDDLE  ALT=\"x=1.7127\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2pi-+tan%5E-1%287%29 ALIGN=MIDDLE  ALT=\"x+=+2pi-+tan%5E-1%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4.8543 ALIGN=MIDDLE  ALT=\"x=4.8543\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+pi%2B+tan%5E-1%287%2F6%29 ALIGN=MIDDLE  ALT=\"x+=+pi%2B+tan%5E-1%287%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4.0038 ALIGN=MIDDLE  ALT=\"x=4.0038\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2pi+-tan%5E-1%287%2F6%29 ALIGN=MIDDLE  ALT=\"x+=+2pi+-tan%5E-1%287%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5.4210 ALIGN=MIDDLE  ALT=\"x=5.4210\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "answer to four decimal places:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.7127 ALIGN=MIDDLE  ALT=\"1.7127\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.0038 ALIGN=MIDDLE  ALT=\"4.0038\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.8543 ALIGN=MIDDLE  ALT=\"4.8543\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5.4210 ALIGN=MIDDLE  ALT=\"x=5.4210\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );