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Victoria Abbott
Mathematics
4 July, 21:35
How many numbers
are reciprocal of themselves?
+4
Answers (
1
)
Bianca Rogers
4 July, 21:42
0
two: + 1 and - 1
Step-by-step explanation:
If a number is equal to its own reciprocal, it will satisfy the equation ...
x = 1/x
Multiplying by x and subtracting 1 gives ...
x^2 - 1 = 0
This factors as ...
(x - 1) (x + 1) = 0
By the zero product rule, the solutions are those values of x that make one or more factors zero:
x = 1
x = - 1
There are two self-reciprocals.
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