if x+1/x=4 find the value of x²-1/x²
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To find the value of x² - 1/x², we can first square the equation x + 1/x = 4.
(x + 1/x)² = 4²
Expanding the left side of the equation:
x² + 2 + 1/x² = 16
Now, subtracting 2 from both sides of the equation:
x² + 1/x² = 16 - 2
Simplifying further:
x² + 1/x² = 14
Therefore, the value of x² - 1/x² is 14.
Step-by-step explanation:
14 . please mark me as Brainleast answer