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If are the roots of the equation
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
If
α
,
β
\alpha,\beta
α
,
β
are the roots of the equation
(
x
−
a
)
(
x
−
b
)
=
c
(x-a)(x-b)=c
(
x
−
a
)
(
x
−
b
)
=
c
, where
c
≠
0
c\ne0
c
=
0
, find the roots of the equation
(
x
−
α
)
(
x
−
β
)
+
c
=
0
(x-\alpha)(x-\beta)+c=0
(
x
−
α
)
(
x
−
β
)
+
c
=
0
.
Related theory
Polynomials
Functions
Nature and relations of roots
Algebra
Relationship between zeroes and coefficients
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