Question 384394
{{{sqrt(x-3)+sqrt(x-8)=11}}}
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{{{(sqrt(x-3)+sqrt(x-8))^2=11^2}}}
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{{{x-3 +2*sqrt((x-3)(x-8))+x-8=121}}}
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{{{2x-11+2*sqrt((x-3)(x-8))=121}}}
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{{{2*sqrt((x-3)(x-8))=121-2x+11}}}
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{{{2*sqrt((x-3)(x-8))=132-2x}}}
{{{2*sqrt((x-3)(x-8))=2(66-x)}}}
/2
{{{sqrt((x-3)(x-8))=(66-x)}}}
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{{{(sqrt((x-3)(x-8)))^2=(66-x)^2}}}
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{{{(x-3)(x-8)=4356-132x+x^2}}}
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{{{x^2-11x+24=4356-132x+x^2}}}
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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