document.write( "Question 257206: solve
\n" ); document.write( "square root 4x^2-64=6
\n" ); document.write( "(the six is not square rooted) \n" ); document.write( "

Algebra.Com's Answer #189137 by nerdybill(7384) $\"\"$ $\"About$

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$\"sqrt%284x%5E2-64%29=6\"$
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\n" ); document.write( "Squaring both sides we get:
\n" ); document.write( " $\"4x%5E2-64=+36\"$
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\n" ); document.write( " $\"4x%5E2-64-36+=+0\"$
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\n" ); document.write( " $\"4x%5E2-100+=+0\"$
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\n" ); document.write( "Notice the left is a \"difference of squares\":
\n" ); document.write( " $\"%282x%29%5E2-%2810%29%5E2+=+0\"$
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\n" ); document.write( "Which can be factored as:
\n" ); document.write( " $\"%282x-10%29%282x%2B10%29+=+0\"$
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\n" ); document.write( "Setting each term (on the left) to zero we get:
\n" ); document.write( "x = {-5,5}
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