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
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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
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Verified answer
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