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 \(\dfrac{C}{A}\)

×

Problem Loading...

Note Loading...

Set Loading...