document.write( "Question 407493: 2(x-7)^1/3 +5 = 7
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\n" ); document.write( "2x^1/2 +8 = 0\r
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Algebra.Com's Answer #287274 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
# 1\r
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\n" ); document.write( "\n" ); document.write( "\"2%28x-7%29%5E%281%2F3%29%5E%22%22+%2B5+=+7\"\r
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\n" ); document.write( "\n" ); document.write( "\"2%28x-7%29%5E%281%2F3%29%5E%22%22+=+7-5\"\r
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\n" ); document.write( "\n" ); document.write( "\"2%28x-7%29%5E%281%2F3%29%5E%22%22+=+2\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-7%29%5E%281%2F3%29%5E%22%22+=+2%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-7%29%5E%281%2F3%29%5E%22%22+=+1\"\r
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\n" ); document.write( "\n" ); document.write( "\"root%283%2Cx-7%29+=+1\"\r
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\n" ); document.write( "\n" ); document.write( "\"x-7+=+1%5E3\"\r
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\n" ); document.write( "\n" ); document.write( "\"x-7+=+1\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+1%2B7\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+8\"\r
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\n" ); document.write( "\n" ); document.write( "So the solution is \"x+=+8\"\r
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\n" ); document.write( "\n" ); document.write( "\"2x%5E%281%2F2%29%5E%22%22++%2B8+=+0+\"\r
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\n" ); document.write( "\n" ); document.write( "\"2x%5E%281%2F2%29%5E%22%22++=+-8+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E%281%2F2%29%5E%22%22++=+-4+\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28x%29+=+-4+\"\r
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\n" ); document.write( "\n" ); document.write( "Recall that the range of the square root function is nonnegative. So the last equation is NOT possible. So there are NO solutions to the last equation.\r
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\n" ); document.write( "\n" ); document.write( "Because the set of equations above are all equivalent, this means that there are NO solutions to the equation \"2x%5E%281%2F2%29+%2B8+=+0+\"\r
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\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r
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\n" ); document.write( "\n" ); document.write( "Jim
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