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Question

Question 88

If m is a whole number less than 5, complete the table and by inspection of the table, find the solution of the equation 2m5=1.

m 2m5


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Solution

Since, m is a whole number which is less than 5, then solution of the equation is given by substituting the given values:

m = 0, 1, 2, 3, 4

m 0 1 2 3 4 2m5 (2×0)5=5 (2×1)5=3 (2×2)5=1 (2×3)5=1 (2×4)5=3

By observing the table above, we can understand that only m= 2 is satisfying the given equation.

The solution of the equation 2m5=1 is m=2.


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