document.write( "Question 235302: Solve for all real roots
\n" ); document.write( "(x-4)^2=36 \n" ); document.write( "

Algebra.Com's Answer #173367 by jim_thompson5910(35256) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"%28x-4%29%5E2=36\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"x-4=%22%22%2B-sqrt%2836%29\"$ Take the square root of both sides.\r
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\n" ); document.write( "\n" ); document.write( " $\"x-4=sqrt%2836%29\"$ or $\"x-4=-sqrt%2836%29\"$ Break up the \"plus/minus\" to form two equations.\r
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\n" ); document.write( "\n" ); document.write( " $\"x-4=6\"$ or $\"x-4=-6\"$ Take the square root of $\"36\"$ to get $\"6\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"x=4%2B6\"$ or $\"x=4-6\"$ Add $\"4\"$ to both sides.\r
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\n" ); document.write( "\n" ); document.write( " $\"x=10\"$ or $\"x=-2\"$ Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the solutions are $\"x=10\"$ or $\"x=-2\"$ .
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