If α and β are the roots of the equation x2-12 x+ 32=0, then find the value of (α2+β2/α+β)

Question

If α and β are the roots of the equation x2-12 x+ 32=0, then find the value of (α2+β2/α+β) (A) (-8/3) (B) (8/3) (C) (-20/3) (D) (20/3)

Tardigrade Admin · Accepted Answer

Find the roots α and β or write α2+β2 as (α+β)2- 2 α β and α+β= sum of the roots and α β= product of the roots.

Q. If $α$ and $β$ are the roots of the equation $x^{2} - 12 x +$ $32 = 0$ , then find the value of $\frac{α ^{2} + β ^{2}}{α + β}$