document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64329>Question 64329</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help!\r<BR>\n" );
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document.write( "1. Determine all x-intercepts of the rational function f(x)=x^2-2x/(x+4)^2\r<BR>\n" );
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document.write( "2. Find the x-coordinates of the points of intersection between the two functions x^2+y^2=113 and x+y=-15\r<BR>\n" );
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document.write( "3. Give the equation of a line that passes through the point(7,4) and is perpendicular to the line whose equation is given by 4x+5y=8\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 #44969 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=44969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> please help! <BR>\n" );
document.write( "1. Determine all x-intercepts of the rational function f(x)=x^2-2x/(x+4)^2 <BR>\n" );
document.write( "X^2 - 2X/(X+4)^2 = Y = 0<BR>\n" );
document.write( "X[X-{2/(X+4)^2}]=0<BR>\n" );
document.write( "X=0....IS THE X INTERCEPT<BR>\n" );
document.write( "THE OTHER POSSIBILITY IS<BR>\n" );
document.write( "X=2/(X+4)^2<BR>\n" );
document.write( "HAS NO SOLUION SINCE X HAS TO BE POSITIVE AND AT X =0 THE MINIMUM VALUE WE GET LHS =0 ...RHS = 0.125...AS X INCREASES LHS INCREASES AND RHS DECREASES. <BR>\n" );
document.write( "X=0 IS THE ONLY X INTERCEPT<BR>\n" );
document.write( "2. Find the x-coordinates of the points of intersection between the two functions x^2+y^2=113 and x+y=-15<BR>\n" );
document.write( "(X+Y)^2= (-15)^2=225<BR>\n" );
document.write( "X^+Y^2 = 113.................2<BR>\n" );
document.write( "2XY = 225-213=12...................3<BR>\n" );
document.write( "(X-Y)^2=113-12=101...................4<BR>\n" );
document.write( "X-Y=SQRT(101)=10.05............5<BR>\n" );
document.write( "X+Y=-15................1,<BR>\n" );
document.write( "EQN.1+EQN.5 GIVES<BR>\n" );
document.write( "2X=-4.95<BR>\n" );
document.write( " X=-2.475<BR>\n" );
document.write( "3. Give the equation of a line that passes through the point(7,4) and is perpendicular to the line whose equation is given by 4x+5y=8 <BR>\n" );
document.write( "PERPENDICULAR LINE HAS EQN. OF TYPE <BR>\n" );
document.write( "5X-4Y=K......IT PASSES THROUGH (7,4)<BR>\n" );
document.write( "5*7-4*4=K<BR>\n" );
document.write( "19=K<BR>\n" );
document.write( "EQN. OF PERPENDICULAR IS 5X-4Y=19\r<BR>\n" );
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document.write( "Thank you!<BR>\n" );
document.write( " </SPAN>\n" );
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