p(x) = a²+bx+c. find the value of a
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Answer:
Answer
ax
2
+bx+c=0
α+β=−
a
b
αβ=
a
c
(α+β)
2
=
a
2
b
2
(α−β)
2
=(α+β)
2
−4αβ
=
a
2
b
2
−
a
4c
=
a
2
b
2
−4ac
α−β=
a
b
2
−4ac
α
2
−β
2
=(α+β)(α−β)=
a
−b
(
a
b
2
−4ac
)
=
a
2
−b
b
2
−4ac
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