document.write( "Question 108996: Use the square root property to solve the equation
\n" ); document.write( "(x-9)^2 = 36 \n" ); document.write( "

Algebra.Com's Answer #79467 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
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Start with the given equation\r
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Take the square root of both sides\r
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Simplify the square root (note: If you need help with simplifying the square root, check out this solver)\r
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Add 9 to both sides to isolate x.\r
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\n" ); document.write( "\n" ); document.write( " Break down the expression into two parts:\r
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document.write( "   or  \r\n" );
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\n" ); document.write( "\n" ); document.write( " Now combine like terms for each expression:\r
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document.write( "   or

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\n" ); document.write( "\n" ); document.write( "So our solution is\r
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document.write( "  or   \r\n" );
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\n" ); document.write( "\n" ); document.write( " Notice when we graph the equations $\"y=%28x-9%29%5E2\"$ and $\"y=36\"$ we get:\r
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graph of $\"y=%28x-9%29%5E2\"$ (red) and $\"y=36\"$ (green)\r
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\n" ); document.write( "\n" ); document.write( "Here we can see that the two equations intersect at x values of $\"x=15\"$ and $\"x=3\"$ , so this verifies our answer.\r
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