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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
2
−
x
−
6
=
0
x^2-x-6=0
x
2
−
x
−
6
=
0
, find the equation whose roots are
α
1
+
α
\frac{\alpha}{1+\alpha}
1
+
α
α
and
β
1
+
β
\frac{\beta}{1+\beta}
1
+
β
β
.
Related theory
Polynomials
Nature and relations of roots
Algebra
Relationship between zeroes and coefficients
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