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Byju's Answer
Standard XII
Mathematics
Roots of a Quadratic Equation
If the sum of...
Question
If the sum of a natural number and its reciprocal is
50
7
, then the number is
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Solution
Let the natural number be
x
and
x
+
1
x
=
50
7
⇒
7
x
2
−
50
x
+
7
=
0
⇒
7
x
2
−
49
x
−
x
+
7
=
0
⇒
7
x
(
x
−
7
)
−
1
(
x
−
7
)
=
0
⇒
(
x
−
7
)
(
7
x
−
1
)
=
0
⇒
x
=
1
7
,
7
∴
x
=
7
(
∵
x
∈
N
)
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Roots of a Quadratic Equation
Standard XII Mathematics
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