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Standard IX
Mathematics
Question
If a+b =5 and
a
2
+
b
2
=
13
, find ab.
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Solution
Verified by Toppr
W
e
h
a
v
e
a
+
b
=
5
b
y
s
q
u
a
r
i
n
g
b
o
t
h
s
i
d
e
s
(
a
+
b
)
2
=
5
2
a
2
+
b
2
+
2
a
b
=
25
13
+
2
a
b
=
25
2
a
b
=
25
−
13
2
a
b
=
12
∴
a
b
=
6
H
e
n
c
e
,
t
h
e
v
a
l
u
e
o
f
a
b
i
s
6.
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