One half of a number decreased by its reciprocal
1 answer:
Answer:
5
Step-by-step explanation:
Let the number equal x. Half the number is then
x
2
and the reciprocal of that is
2
x
The reciprocal of the number is
1
x
and half that is
1
2
x
then
2
x
+
1
2
x
=
1
2
4
x
+
x
2
x
2
=
1
2
10
x
=
2
x
2
2
x
2
−
10
x
=
0
2
x
(
x
−
5
)
=
0
Zero is not viable solution as its reciprocal is infinity. The answer is therefore
x
=
5
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