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The roots of the equation are and
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
The roots of the equation
x
2
−
6
x
+
7
=
0
x^2-6x+7=0
x
2
−
6
x
+
7
=
0
are
α
\alpha
α
and
β
\beta
β
. Find a quadratic equation with roots
α
+
1
β
\alpha+\frac{1}{\beta}
α
+
β
1
and
β
+
1
α
\beta+\frac{1}{\alpha}
β
+
α
1
.
Related theory
Polynomials
Nature and relations of roots
Algebra
Relationship between zeroes and coefficients
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