2013 · Q45
If α and β are roots of x²−x−1=0, then what is (α³+β³)/((α²+β²)(α−β)) equal to?
Elementary MathematicsAlgebra
- A2/5
- B3/5
- C4/5
- DNone of the above
Explanation
α+β=1, αβ=−1; computes to 3/5. Answer B.
If α and β are roots of x²−x−1=0, then what is (α³+β³)/((α²+β²)(α−β)) equal to?
Explanation
α+β=1, αβ=−1; computes to 3/5. Answer B.