CBSE Class 8 Answered
if x and y are the number of possibilities that A can assume such that the unit digit of A and A cube are same and the unit digit of A square and A cube are same respectively, then the value of x-y is (where A is a single digit number)
1) 4 2) 2
3) 3 4) 5
Asked by kakkar727 | 21 Oct, 2018, 01:18: PM
Expert Answer
Given :
A = A3
A3 - A = 0
A (A2 - 1) = 0
A = 0 or A - 1 = o or A + 1 + 0
Therefore x = A = {-1, 1, 0}
Next,
A2 = A3
A3 - A2= 0
A2(A - 1) = 0
A2= 0 or (A - 1) = 0
Therefore A = 0 or A = 1
y = A = {1, 0}
x - y = 3 - 2 = 1
Answered by Yasmeen Khan | 22 Oct, 2018, 06:11: PM
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