Question

if α and β are the roots of the polynomial ax^2+bx+c the find the value of α^2+β^2

Answer 1

hello..
alpha = -b/c.
beta = c/a
then,
alpha )^2 + beta ^2
-b/a )^2 + c/a )^2.
-b^2+ c^2/ a^2 .
I hope it help you

Answer 2

Hi Friend ✋✋✋

α + β = - b / a


αβ = c / a

( α + β )² = α² + β² + 2αβ

- b² / a²- 2c / a = α² + β²

$= \frac{ { - b}^{2} - 2c}{a}$
Hope it helps