# To the power of SIX!

Algebra Level 3

Let $$a$$ and $$b$$ be roots of a quadratic equation:

$x^2-4x+7=0$

Find: $a^6+b^6$

Hint:

From a quadratic equation $$Ax^2+Bx+C$$

Sum of roots of a quadratic equation is $$\dfrac{-B}{A}$$

Product of roots of a quadratic equation is $$\dfrac{C}{A}$$

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