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Answer:
There seems to be a typo error but still this has solution.
Let the number be = x
A positive real number is 6 less than another. Means the second will be
The sum of the square of the two numbers is 38.
=>
=>
=>
=>
Taking out 2 common;
=>
Solving this quadratic equation, we get;
and
As positive number is needed, we have
or x =
x = 0.162277
And other number is 6.162277.