document.write( "Question 57546: I needed to solve this problem and get the solution set:\r
\n" ); document.write( "\n" ); document.write( "x^4 - 20x^2 + 64 = 0\r
\n" ); document.write( "\n" ); document.write( "What I have so far is:\r
\n" ); document.write( "\n" ); document.write( "w^2 - 20w + 64 = 0\r
\n" ); document.write( "\n" ); document.write( "(w - 16)(w - 4) = 0\r
\n" ); document.write( "\n" ); document.write( "w - 16 = 0 or w - 4 = 0\r
\n" ); document.write( "\n" ); document.write( "w = 16 or w = 4\r
\n" ); document.write( "\n" ); document.write( "x^2 = 16 or x^2 = 4\r
\n" ); document.write( "\n" ); document.write( "x = +/- square root 16 or x = +/- 2\r
\n" ); document.write( "\n" ); document.write( "Now I want to know how do I get the proper solution set from my solution. I mean waht is the solution set? \n" ); document.write( "

Algebra.Com's Answer #39357 by phillv(13) $\"\"$ $\"About$

You can put this solution on YOUR website!
It seems that you tried to factor out X^2 from X^4 - 20X^2 + 64=0
\n" ); document.write( "However to do this X^2 has to be included in all the terms ie 64X^2.
\n" ); document.write( "The difference of squares method can be applied to this equation.
\n" ); document.write( "X^4 - 20X^2 + 64= (X^2-16)(X^2-4)=0
\n" ); document.write( "X^2=16 X=+/-4
\n" ); document.write( "X^2=4 X=+/-2
\n" ); document.write( "Sollution set is (-4, -2, 2, 4) \n" ); document.write( "

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