Question : If $x$ is the mean proportional between 12.8 and 64.8, then the value of $x$ is:

Option 1: 32

Option 2: 34

Option 3: 28.8

Option 4: 26.4

Question : If $(x + \frac{1}{x})$ = 6, then the value of ($x^{2} + \frac{1}{x^{2}}$) is:

Option 1: 23

Option 2: 16

Option 3: 34

Option 4: 32

Question : If $x=2+\sqrt3$, then the value of $\frac{x^{2}-x+1}{x^{2}+x+1}$ is:

Option 1: $\frac{2}{3}$

Option 2: $\frac{3}{4}$

Option 3: $\frac{4}{5}$

Option 4: $\frac{3}{5}$

Question : If $x^{4}+\frac{1}{x^{4}}=34$, what is the value of $x^{3}-\frac{1}{x^{3}} $?

Option 1: 0

Option 2: 6

Option 3: 8

Option 4: 14

Question : If $x+\frac{16}{x}=8$, then the value of $x^2+\frac{32}{x^2}$ is:

Option 1: 20

Option 2: 24

Option 3: 16

Option 4: 18

Question : If $x-\frac{1}{x}=2$, then what is the value of $x^2+\frac{1}{x^2}$?

Option 1: 4

Option 2: 5

Option 3: 3

Option 4: 6