document.write( "Question 76281: Solve (x-5)^2 = 6\r
\n" ); document.write( "\n" ); document.write( "I just need to verify my answer of \"5%2Bsqrt%286%29\". Is this correct? Thanks so much for your help.
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Algebra.Com's Answer #54730 by bucky(2189)\"\" \"About 
You can put this solution on YOUR website!
(x-5)^2 = 6
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\n" ); document.write( "You are half right.
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\n" ); document.write( "\"x+=+5+%2B+sqrt%286%29\" is correct, but so also is \"x+=+5+-+sqrt%286%29\"
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\n" ); document.write( "When you take the square root of both sides you need to think in terms of two answers,
\n" ); document.write( "one positive and one negative.
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\n" ); document.write( "This is because \"%28%2Bsqrt%28%2B6%29%29%5E2+=+%2B6\" and \"%28-sqrt%28%2B6%29%29%5E2+=+%2B6\" also.
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\n" ); document.write( "You can verify that \"x+=+5+-+sqrt%286%29\" is a solution also by substituting the right side
\n" ); document.write( "into the original problem for x. When you do that you get:
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\n" ); document.write( "\"%285+-+sqrt%286%29+-+5%29%5E2+=+6\"
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\n" ); document.write( "Performing the subtraction in the parentheses results in:
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\n" ); document.write( "\"+%28-+sqrt%286%29%29%5E2+=+6\"
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\n" ); document.write( "and this is the same as was explained above.
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\n" ); document.write( "When you square a negative number, the result is positive ... so you end up with a positive
\n" ); document.write( "6 on both sides.
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\n" ); document.write( "Hope this helps you to see why there were two answers to this problem ... the one you
\n" ); document.write( "found and the same answer, but with a minus sign between terms.
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