document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=245396>Question 245396</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how many solutions does y^2= 4/7 y +2/5 have?\r<BR>\n" );
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document.write( " f(x)=-2x^2+2x+6<BR>\n" );
document.write( "what is the x cordinate of the vertex?<BR>\n" );
document.write( "the y cordinate of the vertex?<BR>\n" );
document.write( "the equation of the line of semitry?<BR>\n" );
document.write( "the minumun/maximun value of f(x)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #179256 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=179256\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how many solutions does y^2= 4/7 y +2/5 have?<BR>\n" );
document.write( "Rearrange:<BR>\n" );
document.write( "y^2 -(4/7)y - (2/5) = 0<BR>\n" );
document.write( "Quadratic with a = 1 ; b = -4/7 ; c = -2/5<BR>\n" );
document.write( "Discriminant = b^2-4ac = (16/49) - 4(1)(-2/5) = (16/49)+(8/5)<BR>\n" );
document.write( "This sum is greater than zero so the quadratic has two <BR>\n" );
document.write( "unequal Real Number solutions.<BR>\n" );
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document.write( "f(x)=-2x^2+2x+6<BR>\n" );
document.write( "what is the x cordinate of the vertex?<BR>\n" );
document.write( "x = -b/2a = -2/(2(-2)) = 1/2<BR>\n" );
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document.write( "the y cordinate of the vertex?<BR>\n" );
document.write( "f(1/2) = -2(1/2)^2+2(1/2)+6 = -1/2+1+6 = 13/2 or 6.5<BR>\n" );
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document.write( "the equation of the line of symmetry?<BR>\n" );
document.write( "x = 1/2<BR>\n" );
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document.write( "the minumun/maximun value of f(x)?<BR>\n" );
document.write( "Max is at the vertex (1/2,13/2)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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