**2.3 Forming Quadratic Equations from Given Roots**

Let

*α*and*β*be the roots of the equation*ax*^{2 }+*bx*+*c*= 0, this meansx = α or x = βx – α = 0 or x – β = 0(
x – α) (x – β) = 0So,
x^{2 }– (α + β ) x + αβ = 0Conclusion:
x^{2 }– (sum of roots) x + (product of roots) = 0 |