document.write( "Question 627353: (radical sign)2x +11= x + 7 \n" ); document.write( "
Algebra.Com's Answer #394896 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"sqrt%282x%2B11%29+=+x%2B7\"\r
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\n" ); document.write( "\n" ); document.write( "\"2x%2B11+=+%28x%2B7%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"2x%2B11+=+x%5E2%2B14x%2B49\"\r
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\n" ); document.write( "\n" ); document.write( "\"0+=+x%5E2%2B14x%2B49-2x-11\"\r
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\n" ); document.write( "\n" ); document.write( "\"0+=+x%5E2%2B12x%2B38\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B12x%2B38+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "Now let's use the quadratic formula for x\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-%2812%29+%2B-+sqrt%28+%2812%29%5E2-4%281%29%2838%29+%29%29%2F%282%281%29%29\" \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-12+%2B-+sqrt%28+-8+%29%29%2F%282%29\"\r
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\n" ); document.write( "\n" ); document.write( "Since you can't take the square root of a negative number, this means that there are no real solutions to \"sqrt%282x%2B11%29+=+x%2B7\".\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%282x%29%2B11+=+x%2B7\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%282x%29+=+x%2B7-11\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%282x%29+=+x-4\"\r
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\n" ); document.write( "\n" ); document.write( "\"2x+=+%28x-4%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"2x+=+x%5E2+-+8x+%2B+16\"\r
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\n" ); document.write( "\n" ); document.write( "\"0+=+x%5E2+-+8x+%2B+16-2x\"\r
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\n" ); document.write( "\n" ); document.write( "\"0+=+x%5E2+-+10x+%2B+16\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2+-+10x+%2B+16+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "Now let's use the quadratic formula for x\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-%28-10%29%2B-sqrt%28%28-10%29%5E2-4%281%29%2816%29%29%29%2F%282%281%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%2810%2B-sqrt%28100-%2864%29%29%29%2F%282%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%2810%2B-sqrt%2836%29%29%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%2810%2Bsqrt%2836%29%29%2F2\" or \"x+=+%2810-sqrt%2836%29%29%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%2810%2B6%29%2F2\" or \"x+=+%2810-6%29%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+16%2F2\" or \"x+=+4%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+8\" or \"x+=+2\"\r
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\n" ); document.write( "\n" ); document.write( "So the possible solutions to \"sqrt%282x%29%2B11+=+x%2B7\" are \"x+=+8\" or \"x+=+2\"\r
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\n" ); document.write( "\n" ); document.write( "Make sure you check them (I'll let you do this)
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