document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=528215>Question 528215</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can you please help me solve these problems on parabolas and circles? Thanks<BR>\n" );
document.write( "1.Find the equation of the two tangents to the parabola y^2=5x from the point (-1,1).<BR>\n" );
document.write( "2.Find the equation of the two tangents,drawn through the external points (11,3) to the circle x^2+y^2=40.<BR>\n" );
document.write( "3.write the equations of the tangent to the parabola y^2=10x,at the extremities of the latus recum.on what line do these tangent intersect? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #349532 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=349532\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> can you please help me solve these problems on parabolas and circles? Thanks<BR>\n" );
document.write( "1.Find the equation of the two tangents to the parabola y^2=5x from the point (-1,1).<BR>\n" );
document.write( "2.Find the equation of the two tangents,drawn through the external points (11,3) to the circle x^2+y^2=40.<BR>\n" );
document.write( "3.write the equations of the tangent to the parabola y^2=10x,at the extremities of the latus recum.on what line do these tangent intersect.<BR>\n" );
document.write( "**<BR>\n" );
document.write( "1.Find the equation of the two tangents to the parabola y^2=5x from the point (-1,1).<BR>\n" );
document.write( "y^2=5x<BR>\n" );
document.write( "x=y^2/5<BR>\n" );
document.write( "point slope formula: y-y1=m(x-x1)<BR>\n" );
document.write( "For given problem:<BR>\n" );
document.write( "y-1=m(x+1)<BR>\n" );
document.write( "y-1=mx+m<BR>\n" );
document.write( "y-1=m((y^2)/5)+1)<BR>\n" );
document.write( "y-1=(m/5)y^2+m<BR>\n" );
document.write( "(m/5)y^2+m-y+1=0<BR>\n" );
document.write( "a=m/5, b=-1, c=(m+1)<BR>\n" );
document.write( "b^2-4ac=1-4*(m/5)(m+1)<BR>\n" );
document.write( "=1-(4/5)m^2-(4/5)m<BR>\n" );
document.write( "=.8m^2+.8m-1=0<BR>\n" );
document.write( "a=.8, b=.8, c=-1<BR>\n" );
document.write( "m=[-.8±&#8730;(.8^2-4*.8*-1)]/2*.8<BR>\n" );
document.write( "m=[-.8±&#8730;3.84]/1.6<BR>\n" );
document.write( "m=(-.8±1.96)/1.6<BR>\n" );
document.write( "m=-1.72<BR>\n" );
document.write( "or<BR>\n" );
document.write( "m=.724<BR>\n" );
document.write( "Equation of line:<BR>\n" );
document.write( "y=mx+b<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y=-1.72x+b<BR>\n" );
document.write( "solve for b using given point (-1,1)<BR>\n" );
document.write( "1=-1.72*-1+b<BR>\n" );
document.write( "b=-.72<BR>\n" );
document.write( "equation: y=-1.72x-.72<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y=.724x+b<BR>\n" );
document.write( "solve for b using given point (-1,1)<BR>\n" );
document.write( "1=.724*-1+b<BR>\n" );
document.write( "b=1.724<BR>\n" );
document.write( "equation: y=.724x+1.724<BR>\n" );
document.write( "see graph below as a visual check on the answers<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y=±(5x)^.5\r<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%285x%29%5E.5%2C-%285x%29%5E.5%2C-1.72x-.72%2C.724x%2B1.724%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "note to student: Please submit other two problems separately. <BR>\n" );
document.write( ".. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );