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Byju's Answer
Standard XII
Mathematics
Roots of a Quadratic Equation
If α and ...
Question
If
α
and
β
are the roots equations
x
2
−
34
x
+
1
=
0
, then find
4
√
α
−
4
√
β
.
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Solution
x
2
−
34
x
+
1
=
0
x
=
−
b
±
√
b
2
−
4
a
c
2
=
34
±
√
(
34
)
2
−
4
×
1
×
1
2
×
1
=
34
±
√
1152
2
=
34
±
24
√
2
2
=
17
±
12
√
2
α
=
17
+
12
√
2
,
β
=
17
−
12
√
2
4
√
α
±
4
√
β
=
4
√
17
+
2
√
2
−
4
√
17
−
12
√
2
=
[
(
17
+
12
√
2
)
1
2
]
1
2
−
[
(
17
−
12
√
2
)
1
2
]
1
2
=
(
3
+
2
√
2
)
1
2
−
(
3
+
2
√
2
)
1
2
=
(
√
2
+
1
)
−
(
√
2
−
1
)
=
√
2
+
1
−
√
2
+
1
=
2
.
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Q.
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α
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x
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−
34
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, then find
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