Question

If x+1/x = 4 and x² + 1/x² = 14. find the value of x² - 1/x²

Answer 1

Answer:

18

Step-by-step explanation:

(a-b)²

a²-2ab+b²=4²

x²-2x(1/x)+1/x²=16

x²-2+1/x²=16

x²-1/x²=16+2

x²-1/x²=18

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