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Byju's Answer
Standard X
Mathematics
Roots of a Quadratic Equation
If √23 is a s...
Question
If
√
2
3
is a solution of equation
3
x
2
+
m
x
+
2
=
0
. Find the value of
m
.
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Solution
Step : Finding the value of
m
.
√
2
3
is solution of
3
x
2
+
m
x
+
2
=
0
Therefore,
3
×
(
√
2
3
)
2
+
m
×
√
2
3
+
2
=
0
⇒
3
×
2
3
+
√
2
3
m
+
2
=
0
⇒
m
×
√
2
3
=
−
4
⇒
m
=
−
4
√
3
2
⇒
m
=
−
2
√
6
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Roots of a Quadratic Equation
Standard X Mathematics
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