If alpha and beta are the roots of the quadratic polynomial ax2 + bx +c then find alpha^2+beta^2
Answers
Answered by
1
ax²+bx+c=0
α+β=-b/a
αβ=c/a
then,
α²+β²
(α+β)²-2αβ
(-b/a)²-2×c/a
b²/a²-2c/a
b²-2ac/a²
α+β=-b/a
αβ=c/a
then,
α²+β²
(α+β)²-2αβ
(-b/a)²-2×c/a
b²/a²-2c/a
b²-2ac/a²
Similar questions