document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=46922>Question 46922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. What are the 2 solutions of the equation 2x(squared)+2x = 4-x?\r<BR>\n" );
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document.write( "I tried factoring subtracting 4 from both sides and factoring out the left side but couldn't come up with the correct answer. \r<BR>\n" );
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document.write( "2. What is the equation of the line that passes through the points with coordinates (-2,1) and (1,2)?\r<BR>\n" );
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document.write( "I tried subtracting y2 from y1 and adding that two X2 - X1, but I am not getting the correct answer. \r<BR>\n" );
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document.write( "3. When 3+4i is expressed in the form a +bi, what is the value of a? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #31077 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=31077\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) Solve:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B2x+=+4-x ALIGN=MIDDLE  ALT=\"2x%5E2%2B2x+=+4-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Rewrite the equation in the form:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc+=+0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B3x-4+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B3x-4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the quadratic formula to solve:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-3%2B-sqrt%283%5E2-4%282%29%28-4%29%29%29%2F2%282%29 ALIGN=MIDDLE  ALT=\"x+=+%28-3%2B-sqrt%283%5E2-4%282%29%28-4%29%29%29%2F2%282%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%2B32%29%29%2F4 ALIGN=MIDDLE  ALT=\"x+=+%28-3%2B-sqrt%289%2B32%29%29%2F4\"   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%2841%29%29%2F4 ALIGN=MIDDLE  ALT=\"x+=+%28-3%2B-sqrt%2841%29%29%2F4\"   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%2Bsqrt41%29%2F4 ALIGN=MIDDLE  ALT=\"x+=+%28-3%2Bsqrt41%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.85078...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-3-sqrt41%29%2F4 ALIGN=MIDDLE  ALT=\"x+=+%28-3-sqrt41%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -2.35078...\r<BR>\n" );
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document.write( "2) Find the equation of the line passing through the points: (-2, 1) and (1, 2)\r<BR>\n" );
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document.write( "Use the point-slope form: y = mx+b.<BR>\n" );
document.write( "Find the slope of the line: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28y2-y1%29%2F%28x2-x1%29 ALIGN=MIDDLE  ALT=\"m+=+%28y2-y1%29%2F%28x2-x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(-2, 1) = (x1, y1) and (1, 2) = (x2, y2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%282-1%29%2F%281-%28-2%29%29 ALIGN=MIDDLE  ALT=\"m+=+%282-1%29%2F%281-%28-2%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=m+=+1%2F3 ALIGN=MIDDLE  ALT=\"m+=+1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%281%2F3%29x+%2B+b ALIGN=MIDDLE  ALT=\"y+=+%281%2F3%29x+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now you need to find the value of b, the y-intercept. Substitute the x- and y-coordinates from either one of the two given points and solve for b. Using the second point (1, 2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+%281%2F3%29%281%29+%2B+b ALIGN=MIDDLE  ALT=\"2+=+%281%2F3%29%281%29+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+1%2F3+%2B+b ALIGN=MIDDLE  ALT=\"2+=+1%2F3+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides of the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3+=+b ALIGN=MIDDLE  ALT=\"5%2F3+=+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you can write the final equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%281%2F3%29x+%2B+5%2F3 ALIGN=MIDDLE  ALT=\"y+=+%281%2F3%29x+%2B+5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3) When 3+4i is in the form a+bi, what is the value of a?\r<BR>\n" );
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document.write( "Compare the following:<BR>\n" );
document.write( "3+4i<BR>\n" );
document.write( "a+bi\r<BR>\n" );
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document.write( "a = 3\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );