CT 27: Identities – III

1.If  is:

2. If .

3. If (x−1/x)=10, what is the value of (x⁴−1/x⁴)?

4. If x² - 1/x² = 4 √2, what is the value of x⁴ - 1/x⁴?

5. If 7b−14/b=7, then what is the value of 16b²+1/49b² ?

6. If x² + 1/x² = 98, then the value of x + 1/x is:

7. If (x−1/x=4), then what is the value of (x⁶+1/x⁶)?

8. If K + 1/K + 2 = 0 and K < 0, then what is the value of K¹⁰ + 1/K¹¹

9. f x(3−2/x)=3/x then the value of x²+1/x² is

10. If 5x+1/3x=4, then what is the value of 9x² +1/25x² ?