document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=481377>Question 481377</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify each complex expression. Write your answer in standard form.\r<BR>\n" );
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document.write( "7-5i over 2+3i\r<BR>\n" );
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document.write( "and \r<BR>\n" );
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document.write( "Provide the requested information for each parabola, ellipse, circle, or hyperbola.\r<BR>\n" );
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document.write( "Identify the vertex and axis of symmetry of y=x^2-2x+5\r<BR>\n" );
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document.write( "thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #329635 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=329635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify each complex expression. Write your answer in standard form. <BR>\n" );
document.write( "7-5i over 2+3i <BR>\n" );
document.write( "and <BR>\n" );
document.write( "Provide the requested information for each parabola, ellipse, circle, or hyperbola. <BR>\n" );
document.write( "Identify the vertex and axis of symmetry of y=x^2-2x+5<BR>\n" );
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document.write( "(7-5i)/(2+3i)<BR>\n" );
document.write( "multiply both numerator and denominator by (2-3i)<BR>\n" );
document.write( "(7-5i)/(2+3i)*(2-3i)/(2-3i)<BR>\n" );
document.write( "i^2=-1<BR>\n" );
document.write( "(7-5i)(2-3i)/(2+3i)(2-3i)<BR>\n" );
document.write( "(7-5i)(2-3i)=14-31i+15i^2=14-31i-15=-(1+31i)  (FOIL)<BR>\n" );
document.write( "(2+3i)(2-3i)=4-9i^2=4+9=13 (difference of squares)<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "-(1+31i)/13<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y=x^2-2x+5<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "y=(x^2-2x+1)+5-1<BR>\n" );
document.write( "y=(x-1)^2+4<BR>\n" );
document.write( "This is an equation of a parabola of standard form: y=A(x-h)^2+k, (h,k) being the (x,y) coordinates of the vertex.<BR>\n" );
document.write( "For given equation: vertex at (1,4) and axis of symmetry of x=1. </SPAN>\n" );
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