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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
−
4
x
−
11
=
0
x^2-4x-11=0
x
2
−
4
x
−
11
=
0
are
α
\alpha
α
and
β
\beta
β
. Find all quadratic equations with roots
α
β
\alpha\beta
α
β
and
α
+
β
\alpha+\beta
α
+
β
.
Related theory
Solving Quadratic Equations
Quadratic Equations
Polynomials
Functions
Nature and relations of roots
Algebra
Relationship between zeroes and coefficients
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