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Byju's Answer
Standard XII
Mathematics
Real Valued Functions
If √√2 x +√- ...
Question
If
√
√
2
x
+
√
−
x
4
−
1
=
a
+
i
b
, Find the value of
a
2
−
b
2
a
n
d
4
a
2
b
2
A
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B
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C
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D
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Solution
The correct option is
B
√
√
2
x
+
√
−
(
1
+
x
4
)
Let
√
√
2
x
+
i
√
1
+
x
4
=
a
+
i
b
Squaring on both sides
√
2
x
+
√
1
+
x
4
=
a
2
−
b
2
+
2
a
b
i
a
2
−
b
2
=
√
2
x
2
a
b
=
√
1
+
x
4
4
a
2
b
2
=
1
+
x
4