document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039273>Question 1039273</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HELP!!! Determine the values of the variable for which the expression is defined as a real number(answer in interval notation)?\r<BR>\n" );
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document.write( "1. Sqrt of 5(x)^2 -7x+2 \r<BR>\n" );
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document.write( "2. (x)^5 +(x)^3 greater or equal to (x)^2 +5x. (Interval notation rounded to two decimals). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #654016 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=654016\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the first is where 5x^2-7x+2>=0<BR>\n" );
document.write( "(5x-2)(x-1)> = 0<BR>\n" );
document.write( "the roots are x=(2/5) and x=1<BR>\n" );
document.write( "Between these, the value is <0<BR>\n" );
document.write( "so the intervals are(-oo,2/5] and [1,oo)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-1%2C2%2C-10%2C10%2Csqrt%285x%5E2-7x%2B2%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-1%2C2%2C-10%2C10%2Csqrt%285x%5E2-7x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "x^5+x^3>=x^2+5x<BR>\n" );
document.write( "x^5+x^3-x^2-5x>=0.<BR>\n" );
document.write( "This is <0 when x <-1.23<BR>\n" );
document.write( "It is >=0 when x is between -1.23 and 0<BR>\n" );
document.write( "It is <0 when x is between (0,1.44)<BR>\n" );
document.write( "It is >0 when x>=1.44<BR>\n" );
document.write( "[-1.23,0]U[1.44,oo]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-25%2C25%2Cx%5E5%2Bx%5E3-x%5E2-5x%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-25%2C25%2Cx%5E5%2Bx%5E3-x%5E2-5x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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