document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=290479>Question 290479</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I really need help with this question, I'm not understanding it at all, the answer apparently is (-3/2i , 15/4i), (3/2i, -15/4i)                           Solve this System: 9x^2-4y^2=36<BR>\n" );
document.write( "                   5x+2y=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #210197 by </B><A HREF=/tutors/aboutme.mpl?userid=subudear><B>subudear(62)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=subudear><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=210197\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given\r<BR>\n" );
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document.write( "9x^2-4y^2=36<BR>\n" );
document.write( "it can be written as\r<BR>\n" );
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document.write( "(3x)^2-(2y)^2=36<BR>\n" );
document.write( "or<BR>\n" );
document.write( "(3x-2y)(3x+2y)=36       because a^2-b^2=(a-b)(a+b)\r<BR>\n" );
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document.write( "now also it is given that 5x + 2y = 0 or 2y = -5x\r<BR>\n" );
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document.write( "replace this vlaue in the above equation we get\r<BR>\n" );
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document.write( "(3x + 5x)(3x - 5x)=36<BR>\n" );
document.write( "-16x^2 =36<BR>\n" );
document.write( "x = (3/2)i, -(3/2)i\r<BR>\n" );
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document.write( "putting values of x in 2y = -5x we get\r<BR>\n" );
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document.write( "(-3/2i , 15/4i), (3/2i, -15/4i) </SPAN>\n" );
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