Semi Pythagoras Triplet?

Algebra Level 3

Let there be two real numbers a,ba,b that satisfy the given equation:

a2+b2=548464a^2+b^2=548464

The range of the values that aa can take for some value of bb that satisfies the equation above is of the form [x,x][-x,x] for some x0 x \geq 0 .

What is the value of xx?


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