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If and are the roots of
MATHEMATICS · Numerical · CBSE · Mathematics · Polynomials · Polynomials
Problem
If
α
\alpha
α
and
β
\beta
β
are the roots of
a
x
2
+
b
x
+
c
=
0
ax^2+bx+c=0
a
x
2
+
b
x
+
c
=
0
, find the roots of
a
x
2
−
b
x
(
x
−
1
)
+
c
(
x
−
1
)
2
=
0
ax^2-bx(x-1)+c(x-1)^2=0
a
x
2
−
b
x
(
x
−
1
)
+
c
(
x
−
1
)
2
=
0
.
Related theory
Polynomials
Functions
Nature and relations of roots
Algebra
Relationship between zeroes and coefficients
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