document.write( "Question 130869: (2x-3)^2=25 \n" ); document.write( "

Algebra.Com's Answer #95511 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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Take the square root of 25 to get 5\r
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Add 3 to both sides.\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( "Divide both sides by 2 to isolate x\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 $\"y=%282x-3%29%5E2\"$ and $\"y=25\"$ we get:\r
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graph of $\"y=%282x-3%29%5E2\"$ (red) and $\"y=25\"$ (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 $\"x=-2\"$ and $\"x=4\"$ , so this verifies our answer.\r
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