anonymous
  • anonymous
How does completing the trinomial square help you solve an equation by using the principle of square root? Can you consider the following and demonstrate the concept? x^2 + 4x = 21
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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anonymous
  • anonymous
\[x^2+4x=21\] \[x^2+4x+4=25\] \[(x+4)^2=25\] \[x+4=4\] or \[x+4=-5\]
anonymous
  • anonymous
the picture goes like this. draw a square with side x. its area is \[x^2\] attach to two sides a rectangle with side 2. each has area \[2x\] for a total of \[x^2+4x\] this picture is not a square. to make it a square you have to actually complete the square, but adding a little \[2\times 2\] square for the piece that is missing.
anonymous
  • anonymous
since that little square has area 4 you now have a total of 21+4 = 25 and you have a ' perfect square" whose sides are now \[x+2\]

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myininaya
  • myininaya
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anonymous
  • anonymous
here is a nice illustration of what i meant http://www.google.com/imgres?imgurl=http://www.helpalgebra.com/articles/images/csa5.gif&imgrefurl=http://www.helpalgebra.com/articles/completingthesquare.htm&usg=__JKUyjfzmv82JSJ-8_UKbwGL33rs=&h=265&w=273&sz=3&hl=en&start=0&sig2=AA_ZOZmz-ML9NmLwSKNaFw&zoom=1&tbnid=y_uiDGxEULpUCM:&tbnh=151&tbnw=156&ei=uPrJTab0G-WV0QGdzKXPBw&prev=/search%3Fq%3Dpicture%2Bof%2Bcompleting%2Bthe%2Bsquare%26hl%3Den%26client%3Dubuntu%26hs%3Deof%26sa%3DX%26channel%3Dfs%26biw%3D1211%26bih%3D798%26tbm%3Disch%26prmd%3Divns&itbs=1&iact=hc&vpx=642&vpy=258&dur=5668&hovh=212&hovw=218&tx=126&ty=116&page=1&ndsp=24&ved=1t:429,r:9,s:0
anonymous
  • anonymous
oops guess that didn't work.
anonymous
  • anonymous
lol....I thought what the heck is going on?

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