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Byju's Answer
Standard X
Mathematics
Solving a Quadratic Equation by Completion of Squares Method
Find the valu...
Question
Find the value of a
a
and
b
respectively, if
√
7
−
1
√
7
+
1
−
√
7
+
1
√
7
−
1
=
a
+
b
√
7
.
A
0
,
−
2
3
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B
1
,
−
1
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C
2
3
,
0
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D
1
,
−
2
3
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Solution
The correct option is
A
0
,
−
2
3
Solving L.H.S
=
√
7
−
1
√
7
+
1
−
√
7
+
1
√
7
−
1
=
(
√
7
−
1
)
×
(
√
7
−
1
)
−
(
√
7
+
1
)
×
(
√
7
+
1
)
(
√
7
+
1
)
(
√
7
−
1
)
=
−
4
√
7
(
√
7
)
2
−
1
=
−
4
√
7
6
=
−
2
3
√
7
Now, by comparing it to R.H.S
we get,
a
=
0
and
b
=
−
2
3
.
Suggest Corrections
2
Similar questions
Q.
If
√
7
−
1
√
7
+
1
−
√
7
+
1
√
7
−
1
=
a
+
b
√
7
, then find the value of
a
and
b
.
Q.
If
a
=
1
2
−
√
3
,
b
=
1
2
+
√
3
, find the value of
7
a
2
+
11
a
b
−
7
b
2
Q.
Factorise
98
(
a
+
b
)
2
−
2
Q.
If
√
7
−
1
√
7
+
1
+
√
7
+
1
√
7
−
1
=
a
+
b
√
7
, find the values of a and b.
Q.
If A = {1, 2, 3, 4, 5, 6, 7, 8} and B = {1, 3, 5, 7}, then find
A
−
B
and
A
∩
B
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