document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=60886>Question 60886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone help me?\r<BR>\n" );
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document.write( "Solve the following equations. Leave radicals in radical form(do not calculate there approximate values).\r<BR>\n" );
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document.write( "a. 4x^2+3x-10=0\r<BR>\n" );
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document.write( "b. 2x^2=3x\r<BR>\n" );
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document.write( "c. x^3-4x^2-x+4=0\r<BR>\n" );
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document.write( "d. x^4-10x^2+9=0\r<BR>\n" );
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document.write( "e. x^3-3x^2+x-3=0\r<BR>\n" );
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document.write( "f. 3x^2-5x+1=0\r<BR>\n" );
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document.write( "I also need to know how to put radicals signs on here.<BR>\n" );
document.write( "Thank you for your help!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41944 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=41944\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Solve the following equations. Leave radicals in radical form(do not calculate there approximate values).\r<BR>\n" );
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document.write( "a. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2B3x-10=0 ALIGN=MIDDLE  ALT=\"4x%5E2%2B3x-10=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "Replace the middle term with two numbers that multiply to give you 4x^2*-10=-40x^2, but add to give you 3x.  8x*-5x=-40x^2, 8x+-5x=3x.<BR>\n" );
document.write( ":<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2B8x-5x-10=0 ALIGN=MIDDLE  ALT=\"4x%5E2%2B8x-5x-10=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Factor by grouping, group the first two terms and the last two.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%5E2%2B8x%29%2B%28-5x-10%29=0 ALIGN=MIDDLE  ALT=\"%284x%5E2%2B8x%29%2B%28-5x-10%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Factor the GCF out of each parentheses<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%28x%2B2%29-5%28x%2B2%29=0 ALIGN=MIDDLE  ALT=\"4x%28x%2B2%29-5%28x%2B2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out x+2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x-5%29%28x%2B2%29=0 ALIGN=MIDDLE  ALT=\"%284x-5%29%28x%2B2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Set each parentheses equal to 0 and solve for x.<BR>\n" );
document.write( "4x-5=0 and x+2=0<BR>\n" );
document.write( "4x=5 and x=-2<BR>\n" );
document.write( "4x/4=5/4 and x=-2<BR>\n" );
document.write( "x=5/4 and x=-2<BR>\n" );
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document.write( "b. 2x^2=3x  Set equal to 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-3x=0 ALIGN=MIDDLE  ALT=\"2x%5E2-3x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF.<BR>\n" );
document.write( "x(2x-3)=0<BR>\n" );
document.write( "x=0 and 2x-3=0<BR>\n" );
document.write( "x=0 and 2x=3<BR>\n" );
document.write( "x=0 and 2x/2=3/2<BR>\n" );
document.write( "x=0 and x=3/2<BR>\n" );
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document.write( "c. x^3-4x^2-x+4=0  Factor by grouping<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3-4x%5E2%29%2B%28-x%2B4%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E3-4x%5E2%29%2B%28-x%2B4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%28x-4%29-1%28x-4%29=0 ALIGN=MIDDLE  ALT=\"x%5E2%28x-4%29-1%28x-4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-1%29%28x-4%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E2-1%29%28x-4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  x^2-1 is the difference of squares<BR>\n" );
document.write( "(x+1)(x-1)(x-4)=0<BR>\n" );
document.write( "x+1=0 and x-1=0 and x-4=0<BR>\n" );
document.write( "x=-1 and x=1 and x=4<BR>\n" );
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document.write( "d. x^4-10x^2+9=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-9%29%28x%5E2-1%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E2-9%29%28x%5E2-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(x+3)(x-3)(x+1)(x-1)=0<BR>\n" );
document.write( "x+3=0 and x-3=0 and x+1=0 and x-1=0<BR>\n" );
document.write( "x=-3 and x=3 and x=-1 and x=1<BR>\n" );
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document.write( "e. x^3-3x^2+x-3=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3-3x%5E2%29%2B%28x-3%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E3-3x%5E2%29%2B%28x-3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%28x-3%29%2B1%28x-3%29=0 ALIGN=MIDDLE  ALT=\"x%5E2%28x-3%29%2B1%28x-3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B1%29%28x-3%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B1%29%28x-3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(x^2+1 is prime, so if you need only real numbers you can ignore it, otherwise it's solution is +/-i)<BR>\n" );
document.write( "x-3=0<BR>\n" );
document.write( "x=3<BR>\n" );
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document.write( "f. 3x^2-5x+1=0<BR>\n" );
document.write( "a=3 b=-5 and c=1<BR>\n" );
document.write( "The quadratic formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29%29\"   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-%28-5%29%2B-sqrt%28%28-5%29%5E2-4%283%29%281%29%29%29%2F%282%283%29%29 ALIGN=MIDDLE  ALT=\"x=%28-%28-5%29%2B-sqrt%28%28-5%29%5E2-4%283%29%281%29%29%29%2F%282%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%285%2B-sqrt%2825-12%29%29%2F6 ALIGN=MIDDLE  ALT=\"x=%285%2B-sqrt%2825-12%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=%285%2B-sqrt%2813%29%29%2F6 ALIGN=MIDDLE  ALT=\"x=%285%2B-sqrt%2813%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "An abreviation for radical is \"sqrt(whatever you want)\" like the square root of x+5 is sqrt(x+5)<BR>\n" );
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document.write( "Happy Calculating!!! </SPAN>\n" );
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