document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=380798>Question 380798</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve using the quadratic formula and round your answers to the nearest tenth:  3x^2+4x-2=0\r<BR>\n" );
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document.write( "I am so confused and don't even know where to start!  Help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #270350 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=270350\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve using the quadratic formula and round your answers to the nearest tenth: 3x^2 + 4x - 2 = 0 <BR>\n" );
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document.write( "Here it is step-by-step<BR>\n" );
document.write( "the quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The equation is in the form: ax^2 + bx + c = 0;therefore:<BR>\n" );
document.write( "a=3; b=4; c=-2<BR>\n" );
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document.write( "Replace these letters in the formula and you have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-4+%2B-+sqrt%284%5E2-4%2A3%2A-2+%29%29%2F%282%2A3%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-4+%2B-+sqrt%284%5E2-4%2A3%2A-2+%29%29%2F%282%2A3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now just do the math<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-4+%2B-+sqrt%2816-%28-24%29+%29%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%28-4+%2B-+sqrt%2816-%28-24%29+%29%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Remember minus a minus is a plus<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-4+%2B-+sqrt%2816%2B24+%29%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%28-4+%2B-+sqrt%2816%2B24+%29%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-4+%2B-+sqrt%2840+%29%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%28-4+%2B-+sqrt%2840+%29%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the square root of 40, there will be two solutions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-4+%2B+6.32%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%28-4+%2B+6.32%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.32%2F6 ALIGN=MIDDLE  ALT=\"2.32%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = .3867 ~ .4<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-4+-+6.32%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%28-4+-+6.32%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10.32%2F6 ALIGN=MIDDLE  ALT=\"-10.32%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = -1.72 ~ 1.7<BR>\n" );
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document.write( "Two solutions: x = .4, x= -1.7<BR>\n" );
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document.write( "It's easy to make a math mistake, so it is a good idea to check your<BR>\n" );
document.write( "solutions in the original equation. Replace x with .4<BR>\n" );
document.write( "3(.4^2) + 4(.4) - 2 = 0 <BR>\n" );
document.write( "3(.16) + 1.6 - 2 = 0<BR>\n" );
document.write( ".48 + 1.6 - 2 = 0<BR>\n" );
document.write( ".08 ~ 0,  not exact because we rounded off but close enough to check our answer<BR>\n" );
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document.write( "Check it with x=-1.7<BR>\n" );
document.write( "3(-1.7^2) + 4(-1.7 - 2 = 0 <BR>\n" );
document.write( "3(2.89) - 6.8 - 2 = 0<BR>\n" );
document.write( "8.67 - 6.8 - 2 = 0<BR>\n" );
document.write( ".13 ~ 0, also close<BR>\n" );
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document.write( "Learn this completely, print it out and study it, it will make life much<BR>\n" );
document.write( "easier in algebra class. Like giving yourself a lasting Christmas present!<BR>\n" );
document.write( "Best regards, Carl <BR>\n" );
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