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Byju's Answer
Standard X
Mathematics
Sum and Product of Roots of a Quadratic Equation
Find the coef...
Question
Find the coefficient of
x
2
quadratic equation with sum and product of roots
√
2
,
1
3
repectively.
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Solution
Now formula of quadratic equation is
x
2
+
(
s
u
m
o
f
r
o
o
t
)
x
+
p
r
o
d
u
c
t
o
f
r
o
o
t
=
0
Plug the value in formula , We get
x
2
+
(
−
√
2
)
x
+
1
3
=
0
Multiply by 3 to remove denominator, We get
3
x
2
+
(
−
3
√
2
)
x
+
1
=
0
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