Given: x2+αx+β=0 α and β are the roots of above equation Concept Used: For equation ax2+bx+c=0 Sum of roots =−b∕a Product of roots =c∕a Calculation: The given equation is x2+αx+β=0 Here, a=1,b=α,c=β Sum of roots (α+β)=−α∕1 ⇒2α+β=0⋯ (i) Product of roots (α.β)=β∕1 ⇒α=1 From (i) and (ii), we get β=−2⋯−( iii) Now, we have to find the value of α−β ⇒α−β=1−(−2)=3 ∴ The required value of α−β is 3 .