# Semi Pythagoras Triplet?

Algebra Level 3

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

$a^2+b^2=548464$

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

What is the value of $$x$$?

Inspiration

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