document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1013724>Question 1013724</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help me solve this please! Thank you so much, I really appreciate it!\r<BR>\n" );
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document.write( "Identify the solution for the inequality: 9x^3-18x^2-25x+50<0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #630023 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=630023\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The easiest way is to graph it and the parts of the graph below 0 are what is desired.  This then allows one to look for specific factors to finish the work.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C50%2C9x%5E3-18x%5E2-25x%2B50%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C50%2C9x%5E3-18x%5E2-25x%2B50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(x-2) appears to be a factor of the equation equaling 0. x=2<BR>\n" );
document.write( "substitute 2 into the equation and this equals 0, so it is not a solution, but allows us to factor (x-2) out of the equation.  Using synthetic or long division, the remaining factor is 9x^2-25, which is a difference of squares.<BR>\n" );
document.write( "The other two roots are +/-(5/3).  That is because (3x-5)(3x+5)=0 and solving for x will give +/- (5/3)<BR>\n" );
document.write( "It is less than 0 between ((5/3),2) and it is less than 0 between (-oo,(5/3))<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-2%2C4%2C-10%2C10%2C9x%5E3-18x%5E2-25x%2B50%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-2%2C4%2C-10%2C10%2C9x%5E3-18x%5E2-25x%2B50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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