An algebra problem by neelesh vij

Let the range of values $a$ for which the equation:

$\displaystyle x^2 + 2ax +a = \sqrt{a^2 +x-\dfrac {1}{16}} - \dfrac{1}{16}$

has no roots be given by $(a,b)$ where $a$ and $b$ are rational numbers.

And let $a^2 + b^2 = \dfrac cd$

Then input value of:

$\displaystyle \sqrt{(2c)^2 - d^2}$

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Try part 2

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