Question : Which of the following equations has equal roots?

Option 1: $3x^{2}-6x+2=0$

Option 2: $3x^{2}-6x+3=0$

Option 3: $x^{2}-8x+8=0$

Option 4: $4x^{2}-8x+2=0$

Question : Simplify the following expression.
$\{[(x-5)(x-1)]-[(9 x-5)(9x-1)]\} \div 16x$

Option 1: $2x(5x-3)$

Option 2: $-(5x-3)$

Option 3: $x(5x-3)$

Option 4: $-6x(5x-3)$

Question : If $x+\frac{2}{x}=1$, then the value of $\frac{x^2+7x+2}{x^2+13x+2}$ is:

Option 1: $\frac{5}{7}$

Option 2: $\frac{3}{7}$

Option 3: $\frac{4}{7}$

Option 4: $\frac{2}{7}$

Question : If $x+\frac{1}{x}=-2$, then what is the value of $x^7+x^{-7}+x^2+x^{-2} ?(\mathrm{x}<0)$

Option 1: 4

Option 2: 2

Option 3: 1

Option 4: 0

Question : $9x^2+25 - 30x$ can be expressed as the square of:

Option 1: $-3x - 5$

Option 2: $3x+5$

Option 3: $3x-5$

Option 4: $3x^2-25$