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Byju's Answer
Standard X
Mathematics
Solving a Quadratic Equation by Completion of Squares Method
If 0 < x < ...
Question
If
0
<
x
<
y
, then the positive square root of
x
+
y
−
2
√
x
y
is
A
√
x
+
√
y
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B
√
x
−
√
y
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C
√
y
−
√
x
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D
−
√
x
−
√
y
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Solution
The correct option is
A
√
y
−
√
x
x
+
y
−
2
√
x
y
=
(
√
x
)
2
+
(
√
y
)
2
−
2
√
x
y
=
(
√
x
−
√
y
)
2
positive square root of
(
√
x
−
√
y
)
2
=
√
y
−
√
x
Suggest Corrections
0
Similar questions
Q.
If x and y are positive, is
x
<
10
<
y
?
(1)
x
<
y
and
x
y
=
100
(2)
x
2
<
100
<
y
2
Q.
Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:
1.
y
=
e
x
+
1
:
y
′′
−
y
=
0
2.
y
=
x
2
+
2
x
+
C
:
y
′
−
2
x
−
2
=
0
3.
y
=
cos
x
+
C
:
y
′
+
sin
x
=
0
4.
y
=
√
1
+
x
2
:
y
′
=
x
y
1
+
x
2
5.
y
=
A
x
:
x
y
=
y
(
x
≠
0
)
6.
y
=
x
sin
x
:
x
y
=
y
+
x
√
x
2
y
2
(
x
≠
0
a
n
d
x
>
y
o
r
x
<
y
)
7.
x
y
=
log
y
+
C
:
y
′
=
y
2
1
−
x
y
(
x
y
≠
1
)
8.
y
−
cos
y
=
x
:
(
y
sin
y
+
cos
y
+
x
)
y
′
=
y
9.
x
+
y
=
tan
−
1
y
:
y
2
y
′
+
y
2
+
1
=
0
10.
y
=
√
a
2
−
x
2
x
ϵ
(
−
a
,
a
)
:
x
+
y
d
y
d
x
=
0
(
y
≠
0
)
Q.
If true Enter
′
1
′
else
′
0
′
.
∣
∣ ∣
∣
x
y
x
+
y
y
x
+
y
x
x
+
y
x
y
∣
∣ ∣
∣
=
−
2
(
x
+
y
)
(
x
2
+
y
2
−
x
y
)
Q.
If
2
x
+
3
y
=
9
x
y
and
4
x
+
9
y
=
21
x
y
, where
x
≠
0
,
y
≠
0
, then the values of
x
and
y
are
Q.
If
9
y
+
4
x
=
12
√
x
y
where
x
>
0
,
y
>
0
, then
3
√
x
−
2
√
y
=
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