document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59982>Question 59982</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0918091705/algebrahomeworkh>college algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> x^2-4x+4=49\r<BR>\n" );
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document.write( "(3x-6)^2=4x^2\r<BR>\n" );
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document.write( "(x-1)^2+(x^2+1)-12=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41204 by </B><A HREF=/tutors/aboutme.mpl?userid=uma><B>uma(370)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=uma><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=41204\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. x^2 - 4x + 4 = 49<BR>\n" );
document.write( "==> x^2 - 4x + 4 - 49 = 0 [Adding -49 to both the sides]<BR>\n" );
document.write( "==> x^2 - 4x - 45 = 0<BR>\n" );
document.write( "==> x^2 - 9x + 5x - 45 = 0 [Splitting the middle term so that the product is 45]\r<BR>\n" );
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document.write( "==> x(x-9) + 5(x - 9) = 0<BR>\n" );
document.write( "==> (x - 9)(x+5) = 0<BR>\n" );
document.write( "==> x-9 = 0   or x + 5 = 0<BR>\n" );
document.write( "==> x = 9  or x = -5\r<BR>\n" );
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document.write( "2.  (3x-6)^2 = 4x^2<BR>\n" );
document.write( " ==> (3x)^2 -2(3x)(6) + 6^2 = 4x^2 [expanding(3x-6)^2 using the formula]<BR>\n" );
document.write( "==>  9x^2-36x + 36 = 4x^2<BR>\n" );
document.write( "==>  9x^2 - 4x^2 - 36x + 36 = 0 [Adding -4x^2 to both the sides]<BR>\n" );
document.write( "==>  5x^2 - 36x + 36 = 0<BR>\n" );
document.write( "==>  5x^2 - 30x - 6x + 36 = 0 [Splitting the middle term so that the product is 5*36 = 180]\r<BR>\n" );
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document.write( "==>  5x(x-6) - 6(x-6) = 0<BR>\n" );
document.write( "==> (x-6)(5x-6) = 0<BR>\n" );
document.write( "==> (x-6) = 0   or (5x - 6) = 0<BR>\n" );
document.write( "==> x = 6  or  5x = 6<BR>\n" );
document.write( "==> x = 6   or x =6/5\r<BR>\n" );
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document.write( "3. (x-1)^2 + x^2+1 - 12 = 0<BR>\n" );
document.write( "==> x^2 -2x + 1 + x^2 + 1 - 12 = 0 [expanding(x-1)^2 using the formula]<BR>\n" );
document.write( "==> 2x^2 - 2x - 10 = 0<BR>\n" );
document.write( "==> x^2 - x - 5 = 0 [dividing by 2 throughout]<BR>\n" );
document.write( "As the above expression cannot be factorised, use the formula to solve for x<BR>\n" );
document.write( "==> x = [-b+/- sqrt(b^2-4ac)]/2a<BR>\n" );
document.write( "==> x = [1+/-sqrt(1 + 20)]/2<BR>\n" );
document.write( "==> x = 1+/-sqrt(21)]/2\r<BR>\n" );
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document.write( "Good Luck!!!\r<BR>\n" );
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document.write( " </SPAN>\n" );
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