document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=716606>Question 716606</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve the following and I would be ever so grateful:\r<BR>\n" );
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document.write( "1. Write the quotient in standard form: 2-3i/1-2i\r<BR>\n" );
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document.write( "2. Multiply. Write answer in standard form: (7-2i)(3-5i)\r<BR>\n" );
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document.write( "3. Solve: (1/2)x^2 + (3/8)x = 2\r<BR>\n" );
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document.write( "4. Solve: (x + 3)^3/2 = 8\r<BR>\n" );
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document.write( "Thank you so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439912 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=439912\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Use parentheses when needed.<BR>\n" );
document.write( "Rationalize by multiplying numerator and denominator times the conjugate.<BR>\n" );
document.write( "(2-3i)/(1-2i)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282-3i%29%2F%281-2i%29=%282-3i%29%281%2B2i%29%2F%281-2i%29%2F%281%2B2i%29=%282%2B4i-3i-6i%5E2%29%2F%281%5E2-%282i%29%5E2%29=%282%2Bi%2B6%29%2F%281-2%5E2i%5E2%29=%288%2Bi%29%2F%281%2B4%29=%288%2Bi%29%2F5=8%2F5%2B%281%2F5%29i ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "2. FOIL and simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287-2i%29%283-5i%29=21-35i-6i%2B10i%5E2=21-41i-10=11-41i ALIGN=MIDDLE  ALT=\"%287-2i%29%283-5i%29=21-35i-6i%2B10i%5E2=21-41i-10=11-41i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "3. Eliminate denominator by multiplying both sides of the equal sign times 8.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29x%5E2+%2B+%283%2F8%29x+=+2 ALIGN=MIDDLE  ALT=\"%281%2F2%29x%5E2+%2B+%283%2F8%29x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+%2B+3x+=+16 ALIGN=MIDDLE  ALT=\"4x%5E2+%2B+3x+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+%2B+3x+-+16=0 ALIGN=MIDDLE  ALT=\"4x%5E2+%2B+3x+-+16=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, just apply the quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-3+%2B-+sqrt%283%5E2-4%2A4%2A%28-16%29%29%29%2F%282%2A4%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-3+%2B-+sqrt%283%5E2-4%2A4%2A%28-16%29%29%29%2F%282%2A4%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+=+%28-3+%2B-+sqrt%289%2B256%29%29%2F8+ ALIGN=MIDDLE  ALT=\"x+=+%28-3+%2B-+sqrt%289%2B256%29%29%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+%28-3+%2B-+sqrt%28365%29%29%2F8%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+%28-3+%2B-+sqrt%28365%29%29%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "4. (x + 3)^(3/2) = 8 unfortunately shows as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+3%29%5E%283%2F2%29 ALIGN=MIDDLE  ALT=\"%28x+%2B+3%29%5E%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "with the top of the exponent chopped off (at least on my screen), so I'll improvise<BR>\n" );
document.write( "(x + 3)^(3/2) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> (x + 3)^(3/2) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E3 ALIGN=MIDDLE  ALT=\"2%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Square both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x+%2B+3%29%5E%283%2F2%29%29%5E2+=+%282%5E3%29%5E2 ALIGN=MIDDLE  ALT=\"%28%28x+%2B+3%29%5E%283%2F2%29%29%5E2+=+%282%5E3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+3%29%5E3+=+2%5E6 ALIGN=MIDDLE  ALT=\"%28x+%2B+3%29%5E3+=+2%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+3%29%5E3+=+%282%5E2%29%5E3 ALIGN=MIDDLE  ALT=\"%28x+%2B+3%29%5E3+=+%282%5E2%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >} --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+3%29%5E3+=+4%5E3 ALIGN=MIDDLE  ALT=\"%28x+%2B+3%29%5E3+=+4%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I could say take cubic roots on both sides to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3=4 ALIGN=MIDDLE  ALT=\"x%2B3=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=1%29 ALIGN=MIDDLE  ALT=\"highlight%28x=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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