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Byju's Answer
Standard IX
Mathematics
Zeroes of a Polynomial
Find the sum ...
Question
Find the sum and product of zeroes of polynomial
a
x
2
−
5
x
+
c
is equal to 10,find a & c.
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Solution
We have,
P
(
x
)
=
x
2
−
(
s
u
m
o
f
r
o
o
t
s
)
x
+
(
p
r
o
d
u
c
t
o
f
r
o
o
t
s
)
x
2
−
(
10
)
x
+
10
=
0
1
2
x
2
−
5
x
+
5
=
0
........(1)
Given,
a
x
2
−
5
x
+
c
=
0
.......(2)
comparing (1) and (2), we get,
⇒
a
=
1
2
,
c
=
5
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