CT 21: Identities – III

1.If a + 1/a = 5, then determine the value of ^.

2. If (y−1/y)=−9, what will be the value of (y⁵−1/y⁵).

3. If x² - 4x − 1 = 0, then find the value of x² + 1x21x2 - 5.

4. If .

5. If x = (7 + 3√5), then find the value of x² + 1/x^2.

6. If x⁴+1/x⁴=194,x>0, then find the value of x³+1/x³+x+1/x.

7. If (3y−3/y)=5, find the value of  (y²+1/y²) ?

8. If (4y−4/y)=11, find the value of (y²+1/y²).

9. If (y+1/y)=4, find the value of (y6+1/y6)

10. If (4y - 4/y) = 13, find the value of (y² + 1/y2).