If $(3+i)$ is a root of $x^2+ax+b=0$,then $a=$

The solution to the equation $\sqrt{x + 10} + \sqrt{x - 2} = 6$ is:

The product of the real roots of the equation $(x+1)^4+(x+3)^4=8$ is

If the roots of the equation $\frac{\alpha}{x - \alpha} + \frac{\beta}{x - \beta} = 1$ are equal in magnitude but opposite in sign,then $\alpha + \beta =$

What is the product of the real roots of the equation ${t^2}{x^2} + |x| + 9 = 0$?

Let $a \neq 0$ and $p(x)$ be a polynomial of degree greater than $2$. If $p(x)$ leaves remainders $a$ and $-a$ when divided respectively by $x+a$ and $x-a$,then the remainder when $p(x)$ is divided by $x^2-a^2$ is: