if a,b are the roots of ax^2+bx+c=0,then(1/a^2)+(1/b^2)?
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Step-by-step explanation:
ii)
aα+β
1
,
aβ+α
1
Sum ⇒
a
2
αβ+α
2
a+aβ
2
+αβ
aβ+aα+β
⇒
(a
2
+1)(αβ)+a(αβ)
(α+β)(1+a)
⇒
(a
2
+1)
a
c
+a(
a
2
b
2
−
a
2c
)
(1+a)(
a
b
)
⇒
(a
2
+1)c+a(b
2
−2ac)
−(1+a)b
⇒
c(1+a
2
)+ab
2
−(1+a)b
Product
c(1−a
2
)+ab
2
a
∴(c(1−a
2
)+ab
2
)x
2
+(1+a)bx+a=0
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