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