Question

alpha²+beta² formula​

Answer 1

Step-by-step explanation:

Thank me later.

Most responses tell you to use the formula alpha^2+beta^2=(alpha+beta)^2–2*alpha*beta

While this seems trivial for alpha square plus beta square, it is harder for higher powers or perhaps impossible.

HERE IS THE MASTER FORMULA:

Let S(n)=alpha^n+beta^n

Look at the quadratic equation.. ax^2+bx+c=0

aS(2)+bS(1)+cS(0)=0

This can be extended for any value of n by :

aS(n)+bS(n-1)+cS(n-2)=0 where S(n) =alpha^n+beta^n is a relation…..

The proof is relatively simpler. Try it..

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