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Byju's Answer
Standard X
Mathematics
Formation of a Quadratic Equation From It's Roots
α, β are zero...
Question
α,β are zeros of polynomial 2x^2+6x-3 find the value of:-- α^3β+β^3α,[ α_β]^2,α+1/α+β1/β,α^2/β+β^2β,1/α+1/β
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Solution
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Similar questions
Q.
If
α
and
β
are zeros of
x
2
−
3
x
−
2
then find quadratic polynomial whose zeros are
1
)
1
2
α
+
β
and
1
2
β
+
α
2
)
α
−
1
α
+
1
and
β
−
1
β
+
1
Q.
If
α
and
β
are the zero of the quadratic polynomial
p
(
x
)
=
4
x
2
−
5
x
−
1
find value of
α
2
β
2
+
α
β
2
.
Q.
If
α
and
β
are the zeros of the quadratic polynomial
f
(
x
)
=
x
2
−
2
x
+
3
, find a polynomial whose roots are
(i)
α
+
2
,
β
+
2
(ii)
α
−
1
α
+
1
,
β
−
1
β
+
1
.
Q.
If the
α
,
β
,
γ
are the zeroes of polynomial
P
(
x
)
=
x
3
+
4
x
+
2
, then find the value of
1
α
+
β
+
1
β
+
γ
+
1
γ
+
α
Q.
If
α
,
β
,
γ
are the zeroes of the cubic polynomial
x
3
+
4
x
+
2
, then find the value of:
1
α
+
β
+
1
β
+
γ
+
1
γ
+
α
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