document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=137130>Question 137130</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation by the method of your choice.\r<BR>\n" );
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document.write( "(4x+6)squared = 25 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100335 by </B><A HREF=/tutors/aboutme.mpl?userid=MORUPHOSUOLALE><B>MORUPHOSUOLALE(24)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MORUPHOSUOLALE><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=100335\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "(4x+6)squared = 25\r<BR>\n" );
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document.write( " Rememeber  (4x+6)squared means (4x+6)(4x+6)<BR>\n" );
document.write( "Therefore the equation becomes -<BR>\n" );
document.write( "(4x+6)(4x+6)= 25<BR>\n" );
document.write( "16x^2 + 24x + 24x +36 = 25<BR>\n" );
document.write( "16x^2 +48x+ 36 = 25<BR>\n" );
document.write( "16x^2 +48x+ 36-25= 0 (collecting like terms)<BR>\n" );
document.write( "16x^2 +48x+11= 0\r<BR>\n" );
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document.write( "Then we can solve this equation either by factorization, completing the square method or the almighty fomulae.\r<BR>\n" );
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document.write( "I will choose factorization.<BR>\n" );
document.write( "How do we know which method to use!<BR>\n" );
document.write( "Actually by looking at the equation u will be able to tell which of these methods can be applied to solve the equation if u know the fundamentals of those methods.Usually I like to choose factorization first because it is the most easy an uncomplicated method compare to other two methods.<BR>\n" );
document.write( "If u can use factorization for any equation that tells you that other two methods can also get the solution to the equation.<BR>\n" );
document.write( "However, a factorisation might not be powerful enough to untangle some hard equations but completing the square or the almighty fomulae will solve those equation.\r<BR>\n" );
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document.write( "So lets coem back to our task-<BR>\n" );
document.write( "By using factorisation.<BR>\n" );
document.write( "16x^2 +48x+11= 0<BR>\n" );
document.write( "(4x+1)(4x+11)= 0\r<BR>\n" );
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document.write( "Therefore-\r<BR>\n" );
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document.write( "4x+1=0 OR 4x+11= 0\r<BR>\n" );
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document.write( "x= -(1/4) OR  x = -(4/11).\r<BR>\n" );
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document.write( "Good luck!\r<BR>\n" );
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document.write( "Moruph Osuolale<BR>\n" );
document.write( "mosuolal@uncc.edu </SPAN>\n" );
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