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One of the roots of is the negative reciprocal of the other root
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
One of the roots of
k
x
2
+
(
1
−
3
k
)
x
+
(
k
−
6
)
=
0
kx^2 + (1 - 3k)x + (k - 6) = 0
k
x
2
+
(
1
−
3
k
)
x
+
(
k
−
6
)
=
0
is the negative reciprocal of the other root. Find
k
k
k
and the two roots.
Related theory
Solving Quadratic Equations
Quadratic Equations
Polynomials
Nature and relations of roots
Algebra
Relationship between zeroes and coefficients
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