solve the question only sir @Amitnrw
Answers
Given : Mean of x and 1/x is 5
To Find : Mean of x² + 1/x²
Solution:
Mean of x and 1/x is 5
=> (x + 1/x)/2 = 5
=> x + 1/x = 10
Squaring both sides
=> x² + 1/x² + 2x(1/x) = 10²
=> x² + 1/x² + 2 = 100
=> x² + 1/x² = 98
=> ( x² + 1/x² )/2 = 49
Mean of x² + 1/x² is ( x² + 1/x² )/2
Hence Mean of x² + 1/x² is 49
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Answer: x and 1/x is 5
(x + 1/x)/2 = 5
x + 1/x = 10
Squaring both sides
x² + 1/x² + 2x(1/x) = 10²
x² + 1/x² + 2 = 1 x² + 1/x² = 98
( x² + 1/x² )/2 = 49
x² + 1/x² is ( x² + 1/x² )/2
=49
Step-by-step explanation: