If x+1/x=2 then find x^2+1/x^2 calculator

SolutionHelp

You can solve the equation like...

1. If

$x + 1/x = 2$ then find

$x^2 + 1/x^2$

2. If

$x - 1/x = 6$ then find
(1)

$x^2 + 1/x^2$ (2)

$x^4 + 1/x^4$ (3)

$x^3 + 1/x^3$ (4)

$x + 1/x$
(5)

$x^2 - 1/x^2$ (6)

$x^4 - 1/x^4$ (7)

$x^ 3 - 1/x^3$

3. If

$x^2 + 1/x^2 = 23$ then find (1)

$x + 1/x$ (2)

$x^2 + 1/x^2$

4. If

$x + y = 5$ and

$xy = 6$ then find
(1)

$x^2 + y^2$ (2)

$x^3 + y^3$ (3)

$x^4 + y^4$ (4)

$x - y$
(5)

$x^2 - y^2$ (6)

$x^3 - y^3$ (7)

$x^4 - y^4$

5. If

$x + y = 3$ and

$x - y = 15$ then find

$x^2 + y^2$ and

$xy$

6. If

$x + y + z = 9$ and

$x^2 + y^2 + z^2 = 29$ then find

$xy + yz + zx$

7. If

$x^2 + y^2 + z^2 = 29$ and

$xy + yz + zx = -14$ then find

$x + y + z$

8. If

$x+y+z=1,xy+yz+zx=-1$ and

$xyz=-1$ , then find

$x^3+y^3+z^3$

9. If

$x+y+z=12,xy+yz+zx=47$ and

$x^3+y^3+z^3=216$ , then find

$xyz$

Example

1. If $x+1/x = 2$ , then find $x^2+1/x^2$

Solution:
Here

$x+1/x=2$

Now, We know that

$x^2+1/x^2=(x+1/x)^2-2$

$:.x^2+1/x^2=2^2-2$

$:.x^2+1/x^2=4-2$

$:.x^2+1/x^2=2$