- #1
donaldparida
- 146
- 10
Homework Statement
P(x) =ax2+bx+c where a, b and c are in arithmetic progression and are positive. α and β are the roots of the equation and are integers. Find the value of α+β+αβ. (Answer is 7)
Homework Equations
x = {−b ± √(b2 − 4ac)} /2a
3. The Attempt at a Solution [/B]
Since a, b and c are in arithmetic progression, b-a=c-b.
α+β+αβ = -b/a+c/a = c-b/a = b-a/a