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Byju's Answer
Standard XII
Mathematics
Relations between Roots and Coefficients : Higher Order Equations
If x = 2 and ...
Question
If
x
=
2
and
x
=
3
are roots of the equation
3
x
2
−
2
k
x
+
2
m
=
0
, find the value of k and m.
[2 MARKS]
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Solution
Concept : 1 Mark
Application : 1 Mark
Since
x
=
2
and
x
=
3
are roots of the equation
3
x
2
−
2
k
x
+
2
m
=
0
∴
3
×
2
2
−
2
k
×
2
+
2
m
=
0
and
3
×
3
2
−
2
k
×
3
+
2
m
=
0
⇒
12
−
4
k
+
2
m
=
0
and
27
−
6
k
+
2
m
=
0
⇒
12
=
4
k
−
2
m
and
27
=
6
k
−
2
m
Solving these two equations, we get
k
=
15
2
and m = 9
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Standard XII Mathematics
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