document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=296645>Question 296645</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Any help on this problem would be great\r<BR>\n" );
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document.write( "Solve for the variable\r<BR>\n" );
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document.write( "2(y – 1)^2 = 4(y + 1)^2\r<BR>\n" );
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document.write( "ERic </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213739 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=213739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28y-1%29%5E2+=+4%28y+%2B+1%29%5E2+ ALIGN=MIDDLE  ALT=\"2%28y-1%29%5E2+=+4%28y+%2B+1%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28y%5E2-2y+%2B+1%29+=+4%28y%5E2%2B2y+%2B+1%29+ ALIGN=MIDDLE  ALT=\"2%28y%5E2-2y+%2B+1%29+=+4%28y%5E2%2B2y+%2B+1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%5E2-4y+%2B+2+=+4y%5E2%2B8y+%2B+4+ ALIGN=MIDDLE  ALT=\"2y%5E2-4y+%2B+2+=+4y%5E2%2B8y+%2B+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+4y%5E2%2B8y+%2B+4-2y%5E2%2B4y-2+ ALIGN=MIDDLE  ALT=\"0+=+4y%5E2%2B8y+%2B+4-2y%5E2%2B4y-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Get everything to one side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+2y%5E2%2B12y+%2B+2+ ALIGN=MIDDLE  ALT=\"0+=+2y%5E2%2B12y+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=quadratic_formula.solver>Quadratic Formula</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Let's use the quadratic formula to solve for y:<BR><BR>\n" );
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document.write( "  Starting with the general quadratic<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ay%5E2%2Bby%2Bc=0 ALIGN=MIDDLE  ALT=\"ay%5E2%2Bby%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  the general solution using the quadratic equation is:<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29 ALIGN=MIDDLE  ALT=\"y+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  So lets solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ay%5E2%2B12%2Ay%2B2=0 ALIGN=MIDDLE  ALT=\"2%2Ay%5E2%2B12%2Ay%2B2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( notice <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2 ALIGN=MIDDLE  ALT=\"a=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=12 ALIGN=MIDDLE  ALT=\"b=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=2 ALIGN=MIDDLE  ALT=\"c=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-12+%2B-+sqrt%28+%2812%29%5E2-4%2A2%2A2+%29%29%2F%282%2A2%29 ALIGN=MIDDLE  ALT=\"y+=+%28-12+%2B-+sqrt%28+%2812%29%5E2-4%2A2%2A2+%29%29%2F%282%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in a=2, b=12, and c=2<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-12+%2B-+sqrt%28+144-4%2A2%2A2+%29%29%2F%282%2A2%29 ALIGN=MIDDLE  ALT=\"y+=+%28-12+%2B-+sqrt%28+144-4%2A2%2A2+%29%29%2F%282%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square 12 to get 144  <BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-12+%2B-+sqrt%28+144%2B-16+%29%29%2F%282%2A2%29 ALIGN=MIDDLE  ALT=\"y+=+%28-12+%2B-+sqrt%28+144%2B-16+%29%29%2F%282%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%2A2%2A2 ALIGN=MIDDLE  ALT=\"-4%2A2%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16 ALIGN=MIDDLE  ALT=\"-16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-12+%2B-+sqrt%28+128+%29%29%2F%282%2A2%29 ALIGN=MIDDLE  ALT=\"y+=+%28-12+%2B-+sqrt%28+128+%29%29%2F%282%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms in the radicand (everything under the square root)<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-12+%2B-+8%2Asqrt%282%29%29%2F%282%2A2%29 ALIGN=MIDDLE  ALT=\"y+=+%28-12+%2B-+8%2Asqrt%282%29%29%2F%282%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify the square root (note: If you need help with simplifying the square root, check out this <a  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Radicals/simplifying-square-roots.solver> solver</a>)<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-12+%2B-+8%2Asqrt%282%29%29%2F4 ALIGN=MIDDLE  ALT=\"y+=+%28-12+%2B-+8%2Asqrt%282%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 2 and 2 to get 4<BR>\n" );
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document.write( "  So now the expression breaks down into two parts<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-12+%2B+8%2Asqrt%282%29%29%2F4 ALIGN=MIDDLE  ALT=\"y+=+%28-12+%2B+8%2Asqrt%282%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-12+-+8%2Asqrt%282%29%29%2F4 ALIGN=MIDDLE  ALT=\"y+=+%28-12+-+8%2Asqrt%282%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  Now break up the fraction<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-12%2F4%2B8%2Asqrt%282%29%2F4 ALIGN=MIDDLE  ALT=\"y=-12%2F4%2B8%2Asqrt%282%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-12%2F4-8%2Asqrt%282%29%2F4 ALIGN=MIDDLE  ALT=\"y=-12%2F4-8%2Asqrt%282%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  Simplify<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-3%2B2%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"y=-3%2B2%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-3-2%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"y=-3-2%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  So the solutions are:<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-3%2B2%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"y=-3%2B2%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-3-2%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"y=-3-2%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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