If x-1/x=9, find the value of x2+1/x2
Answers
Answered by
48
x²+1/x² = (x-1/x)²+2.x.1/x
= 9²+2
= 81+2
= 83
Answered by
23
Given : x - 1/x = 9
To Find : Value of x⁴ + 1/x⁴
Solution:
x - 1/x = 9
Squaring both sides
(x - 1/x)² = 9²
Using identity (a - b)² = a² + b² - 2ab
a = x and b = 1/x
=> x² + 1/x² - 2x(1/x) = 81
=> x² + 1/x² - 2 = 81
=> x² + 1/x² = 81 + 2
=> x² + 1/x² = 83
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