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24 Feb 2024, 08:32
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yanichu
The number is divisible by 8 when it’s last 3 digits are divisible by 8.
So y can be 3 or 5.
Total number of favorable cases = 3*2
Total number of cases = 3*3
Probability =6/9=2/3
3*2 and 3*3 are the number of values x and y can take
24 Feb 2024, 10:39
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yanichu
(X^2 + 1/(x^2))=4 given
(X^2 +1/(X^2))^2 =4^2=16
——>> (x^2)^2 +2*(X^2)(1/(x^2) +[(1/x^2)^2] =16
—->> 2*(x^2)(1/x^2) =2*1=2
—>> (x^2)^2 =x^4
—>> (1/x^2)^2= 1/x^4
Hence
x^4 + 1/x^4 = 16-2= 14
