document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=477314>Question 477314</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Four different methods of solving a quadratic equation have been discussed in this course: factoring,the square root property,completing the square,and the quadratic formula.Explain under what circumstances each methods would be preferred over any of the other methods. Give an example for each circumstances. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #327358 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=327358\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Four different methods of solving a quadratic equation have been discussed in this course: factoring,the square root property,completing the square,and the quadratic formula.Explain under what circumstances each methods would be preferred over any of the other methods. Give an example for each circumstances.<BR>\n" );
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document.write( "quadratic equations are of the standard form: ax^2+bx+c<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Factoring should be the choice if equation appears to be factorable:<BR>\n" );
document.write( "ex: x^2-x+6=0<BR>\n" );
document.write( "(x+2)(x-3)=0<BR>\n" );
document.write( "x=-2 or x=3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Completing the square would be my next choice especially if the coefficient of x^2, a=1, and b & c are small single digits integers:<BR>\n" );
document.write( "ex:x^2-4x-6=0<BR>\n" );
document.write( "(x^2-4x+4)-6-4=0<BR>\n" );
document.write( "(x-2)^2-10=0<BR>\n" );
document.write( "(x-2)^2=10<BR>\n" );
document.write( "x-2=ħ&#8730;10<BR>\n" );
document.write( "x=2ħ&#8730;10<BR>\n" );
document.write( "..<BR>\n" );
document.write( "If a, b & c are very large or very small like fractions or decimals use the quadratic formula.<BR>\n" );
document.write( "ex: 3x^2+50x-248=0<BR>\n" );
document.write( "a=3, b=50, c=-248<BR>\n" );
document.write( "x=[-50ħsqrt(50^2-4*3*-248)]2*3<BR>\n" );
document.write( "x=[-50ħsqrt(2500+2976)]/6<BR>\n" );
document.write( "x=(-50ħ&#8730;5476)/6<BR>\n" );
document.write( "x=(-50ħ74)/6<BR>\n" );
document.write( "x=24/6=4<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=-124/6=-62/3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "I'm not sure what you meant by the square root property. </SPAN>\n" );
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