document.write( "Question 1158689: 5(x-2)^2=125 \n" ); document.write( "

Algebra.Com's Answer #781654 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "given: $\"5%28x-2%29%5E2=125\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"5%28x-2%29%5E2=125\"$ .........both sides divide by $\"+5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-2%29%5E2=25\"$ ........take sqrt of both sides \r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%28%28x-2%29%5E2%29=sqrt%2825%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x-2=sqrt%2825%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x-2\"$ =± $\"5\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( " $\"x-2=5\"$ -> $\"x=5%2B2\"$ -> $\"highlight%28x=7%29\"$
\n" ); document.write( " $\"x-2=-5\"$ -> $\"x=-5%2B2\"$ -> $\"highlight%28x=-3%29\"$ \r
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