The equation ax2+bx+a=0 , x3−2x2+2x−1=0  have two roots in common then a+b=

The given equation is ax2+bx+a=0 Sum of the roots : α+β=−ba, Product of the roots : αβ=1 AndAnother given equation is x3−2x2+2x−1=0 sum of the roots : α+β+γ=2, product of the roots : αβγ=1 αβγ=1⇒ (1)γ=1⇒γ=1 ∴α+β+γ=2 ⇒−ba+γ=2 ⇒−ba+1=2 ⇒a+b=0