document.write( "Question 1147530: factor the following quadratic using the difference of two squares?\r
\n" ); document.write( "\n" ); document.write( "26x^2 -1\r
\n" ); document.write( "\n" ); document.write( "I could not find factoring Quadratics in the word problems box. \n" ); document.write( "
Algebra.Com's Answer #768864 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
i believe the following reference addresses what you are talking about.
\n" ); document.write( "http://www.mesacc.edu/~scotz47781/mat120/notes/factoring/diff_of_squares/diff_of_squares.html
\n" ); document.write( "your problem is to factor 26x^2 - 1.
\n" ); document.write( "this can be broken down into the difference of two square as shown below:
\n" ); document.write( "26x^2 - 1 = (sqrt(26)x - 1) * (sqrt(26)x + 1)
\n" ); document.write( "set these equal to 0 to get:
\n" ); document.write( "(sqrt(26)x - 1) * (sqrt(26)x + 1) = 0
\n" ); document.write( "this results in:
\n" ); document.write( "sqrt(26)x - 1 = 0 or sqrt(26)x + 1 = 0
\n" ); document.write( "this results in:
\n" ); document.write( "sqrt(26)x = 1 or sqrt(26)x = -1
\n" ); document.write( "solve for x in each of these to get:
\n" ); document.write( "x = 1/sqrt(26) or x = -1/sqrt(26)
\n" ); document.write( "these can be combined to say:
\n" ); document.write( "x = plus or minus 1/sqrt(26)\r
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\n" ); document.write( "\n" ); document.write( "the graphical solution is shown below.
\n" ); document.write( "note that plus of minus 1/sqrt(26) is equivalent to plus or minus .1961161351 that rounds to plus or minus .1961 as shown in the graph.\r
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