Question

if α and ß are the roots of the equation x2 +5x + 6 = 0 . Find the value of 1/ α2 + 1/ß2

Answer 1

Answer:

Let α+3=x

∴α=x−3 (Replace x by x-3)

So the required equation is

⇒(x−3)

2

−5(x−3)+6=0

⇒x

2

−6x+9−5x+15+6=0 ......... (1)

⇒x

2

−11x+30=0