document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=762329>Question 762329</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the square root of 4y+16 - the square root of y-5 equals 6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #463887 by </B><A HREF=/tutors/aboutme.mpl?userid=smiths><B>smiths(2)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=smiths><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=463887\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> &#8730;(4y + 12) - &#8730;(y - 6) = 6\r<BR>\n" );
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document.write( "Square both sides:\r<BR>\n" );
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document.write( "[&#8730;(4y + 12) - &#8730;(y - 6)]² = 6²<BR>\n" );
document.write( "4y + 12 + (y - 6) - 2&#8730;(4y + 12)&#8730;(y - 6) = 36 . . By perfect square trinomial, expand [&#8730;(4y + 12) - &#8730;(y - 6)]².<BR>\n" );
document.write( "4y + 12 + y - 6 - 2&#8730;(4y + 12)&#8730;(y - 6) = 36<BR>\n" );
document.write( "5y + 6 - 2&#8730;(4y + 12)&#8730;(y - 6) = 36\r<BR>\n" );
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document.write( "Then, bring 5y + 6 to the right:\r<BR>\n" );
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document.write( "-2&#8730;(4y + 12)&#8730;(y - 6) = 36 - (5y + 6)<BR>\n" );
document.write( "-2&#8730;(4y + 12)&#8730;(y - 6) = 36 - 5y - 6<BR>\n" );
document.write( "-2&#8730;(4y + 12)&#8730;(y - 6) = 30 - 5y\r<BR>\n" );
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document.write( "Square both sides again!\r<BR>\n" );
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document.write( "(-2&#8730;(4y + 12)&#8730;(y - 6))² = (30 - 5y)²<BR>\n" );
document.write( "4(4y + 12)(y - 6) = 900 - 300y + 25y²<BR>\n" );
document.write( "4(4y² - 12y - 72) = 900 - 300y + 25y²<BR>\n" );
document.write( "16y² - 48y - 288 = 900 - 300y + 25y²\r<BR>\n" );
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document.write( "Bring 16y² - 48y - 288 to the right.\r<BR>\n" );
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document.write( "0 = 900 - 300y + 25y² - (16y² - 48y - 288)<BR>\n" );
document.write( "0 = 9y² - 252y + 1188\r<BR>\n" );
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document.write( "By factoring, we obtain:\r<BR>\n" );
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document.write( "0 = 9(y² - 28y + 132)<BR>\n" );
document.write( "0 = 9(y - 22)(y - 6)\r<BR>\n" );
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document.write( "Finally, by zero-product identity:\r<BR>\n" );
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document.write( "y - 22 = 0 and y - 6 = 0<BR>\n" );
document.write( "y = {22,6}\r<BR>\n" );
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document.write( "it may help u ......!!! </SPAN>\n" );
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