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Subjects
Mathematics State Board
Class 10
Algebra
Nature of roots and relation between roots and coefficients of quadratic equation
21.
Five mark exercise problem VII
Exercise condition:
5
m.
If one root of the equation
3
x
2
+
kx
+
81
=
0
(having real roots) is the square of the other, then find the value of \(k\), and the roots of the equation.
k
=
−
36
;
α
=
−
3
,
β
=
−
9
k
=
36
;
α
=
9
,
β
=
3
k
=
−
36
;
α
=
3
,
β
=
−
9
k
=
36
;
α
=
−
3
,
β
=
9
k
=
−
36
;
α
=
9
,
β
=
3
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