Question 110492
The average of two positive integers is 134. One of the numbers is the square root of the other. Find the integers.
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(x+sart(x))/2 = 134
x + sqrt(x) = 268
x + sqrt(x)-268 = 0
Let w = sqrt(x)
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x^2+w-268 = 0
w = [-1 +- sqrt(1-4*-268)]/2

w = [-1 +- sqrt(1073)]/2

w = [1 +- 32.756678...]/2

w = 16.87833935... or w = -15.87833935...
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Comment:
These answers are not even close to being integers.
Check your text problem or your posting for errors.
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Cheers,
Stan H.