An algebra problem by neelesh vij

Algebra Level 5

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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