Question

If alpha and beta are roots of an equation ax^{2} +bx+c=0 (quadratic equation ) then find
alpha square +beta square .

Please help fast
Friday Black

Answer 1

Answer:

b^2-2ac/a^2

Step-by-step explanation:

as we know that

alpha^2+beta^2=(alpha+beta)^2-2alphabeta

then

alpha+beta=-b/a and alphabeta=c/a

then

(-b/a)^2-2c/a

=b^2-2ac/a^2