document.write( "Question 115756: Solve for x: x= radical 2x-7+5\r
\n" ); document.write( "\n" ); document.write( "I have worked the problem\r
\n" ); document.write( "\n" ); document.write( "(x-5)^2 =2x-7\r
\n" ); document.write( "\n" ); document.write( "x=8 and x=4\r
\n" ); document.write( "\n" ); document.write( "But I don't know how to do the check, can you help?
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Algebra.Com's Answer #84223 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"x=sqrt%282x-7%29%2B5\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"8=sqrt%282%288%29-7%29%2B5\" Plug in the first solution x=8\r
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\n" ); document.write( "\n" ); document.write( "\"8=sqrt%2816-7%29%2B5\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"8=sqrt%289%29%2B5\" Subtract\r
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\n" ); document.write( "\n" ); document.write( "\"8=3%2B5\" Take the square root of 9 to get 3\r
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\n" ); document.write( "\n" ); document.write( "\"8=8\" Add. Since both sides of the equation are equal, x=8 is a valid solution\r
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\n" ); document.write( "\n" ); document.write( "\"x=sqrt%282x-7%29%2B5\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"4=sqrt%282%284%29-7%29%2B5\" Plug in the second solution x=4\r
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\n" ); document.write( "\n" ); document.write( "\"4=sqrt%288-7%29%2B5\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"4=sqrt%281%29%2B5\" Subtract\r
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\n" ); document.write( "\n" ); document.write( "\"8=1%2B5\" Take the square root of 1 to get 1\r
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\n" ); document.write( "\n" ); document.write( "\"8%3C%3E6\" Add. Since both sides of the equation are not equal, x=4 is a not valid solution\r
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\n" ); document.write( "\n" ); document.write( "So the only solution is x=8
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