document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=330803>Question 330803</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the two curves given by<BR>\n" );
document.write( "y= 3x-2  and  y= -x^2+2x+1<BR>\n" );
document.write( "how do I decide if the two intersect and if they do to find there points of intersection.<BR>\n" );
document.write( "please show working </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #237148 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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/cgi-bin/show-face.mpl?user=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=237148\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y= 3x-2  and  y= -x^2+2x+1\r<BR>\n" );
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document.write( "for both equations find values of y for x= -2,-1,0,1,2,3.<BR>\n" );
document.write( "Plot the graphs .<BR>\n" );
document.write( " <BR>\n" );
document.write( "3x-2=-x^2+2x+1 ( both are equal to y)<BR>\n" );
document.write( "x^2+x-3=0<BR>\n" );
document.write( "solve the equation by quadratic formula<BR>\n" );
document.write( "x1=(-b+sqrt(b^2-4*a*c))/2*a)<BR>\n" );
document.write( "a=1, b=1,c=-3<BR>\n" );
document.write( "plug the values of a b c<BR>\n" );
document.write( "x1=(-1+sqrt(1+12)/2<BR>\n" );
document.write( "x1= 1.3<BR>\n" );
document.write( "x2=(-1-sqrt(1+12)/2<BR>\n" );
document.write( "x2= -2.3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Now y= 3x-2 <BR>\n" );
document.write( "fr x= 1.3 y=1.9  ( 1.3,1.9)<BR>\n" );
document.write( "For x= -2.3 y=-8.9  (-2.3,-8.9)\r<BR>\n" );
document.write( "\n" );
document.write( " (1.3,1.9), (-2.3,-8.9) are the points of intersection<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C300%2C-10%2C10%2C-10%2C10%2C3x-2%2C-x%5E2%2B2x%2B1%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C300%2C-10%2C10%2C-10%2C10%2C3x-2%2C-x%5E2%2B2x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );