SOLUTION: <img src="http://img23.imageshack.us/img23/3314/89645481.jpg">

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Question 384394:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x-3%29%2Bsqrt%28x-8%29=11
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%28sqrt%28x-3%29%2Bsqrt%28x-8%29%29%5E2=11%5E2
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x-3+%2B2%2Asqrt%28%28x-3%29%28x-8%29%29%2Bx-8=121
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2x-11%2B2%2Asqrt%28%28x-3%29%28x-8%29%29=121
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2%2Asqrt%28%28x-3%29%28x-8%29%29=121-2x%2B11
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2%2Asqrt%28%28x-3%29%28x-8%29%29=132-2x
2%2Asqrt%28%28x-3%29%28x-8%29%29=2%2866-x%29
/2
sqrt%28%28x-3%29%28x-8%29%29=%2866-x%29
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%28sqrt%28%28x-3%29%28x-8%29%29%29%5E2=%2866-x%29%5E2
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%28x-3%29%28x-8%29=4356-132x%2Bx%5E2
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x%5E2-11x%2B24=4356-132x%2Bx%5E2
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-11x+132x=4356-24
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121x=4332
/121
x=4332/121
x=35.8
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m.ananth@hotmail.ca
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CHECK
sqrt(35.8-3)+sqrt(35.8-8)=10.999