If $x+\frac{1}{x}=2,$ then the value of $x^{100}+\frac{1}{x^{100}}$ is

If $a^{2}+b^{2}+c^{2}=2(a-b-c)-3,$ then the value of $(a-b+c)$ is

What fraction must be subtracted from the sum of $\frac{1}{4}$ and $\frac{1}{6}$ to have an average of $\frac{1}{12}$ of all the three fractions?

Evaluate $\frac{0.53 \times 0.53 - 2 \times 0.53 \times 0.41 + 0.41 \times 0.41}{0.53 - 0.41}$

The value of $3+\frac{3}{3+\frac{1}{3+\frac{1}{3}}}$ is:

If $3x + 7 = x^2 + P = 7x + 5$,what is the value of $P$?