document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85628>Question 85628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me with this problem : 12x^2 + 5x - 25 >_ 0\r<BR>\n" );
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document.write( "Greater than or equal to 0<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61844 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=61844\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 12x^2 + 5x - 25 >_ 0<BR>\n" );
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document.write( "x=[-5+-sqrt(25-4*12*-25)]/24\r<BR>\n" );
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document.write( "x=[-5+-35]/24\r<BR>\n" );
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document.write( "x=[-40/24] or x=30/24<BR>\n" );
document.write( "x=-5/3 or x=5/4<BR>\n" );
document.write( "(3x+5)(4x-5)>=0<BR>\n" );
document.write( "Draw a number line.<BR>\n" );
document.write( "Plot the points x=-5/3 and x=5/4<BR>\n" );
document.write( "Find the solution interval for the original problem<BR>\n" );
document.write( "Graphing you would get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-5%2C5%2C-40%2C10%2C12x%5E2%2B5x-25%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-5%2C5%2C-40%2C10%2C12x%5E2%2B5x-25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice that the curve is above the x-axis for x<-5/3 and for x>5/4<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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