# How will do do it?

Algebra Level 4

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:

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

Try part 2

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