Check whether the given equation is a square equation in one variable or not?

$x-\frac{2}{x}=-x$

Check whether the given equation is a square equation in one variable or not?

$\sqrt{5}{x}^2-3x+\frac{1}{2}=0$

Check whether the given equation is a square equation in one variable or not?

$x^2-10x=0$

Check whether the given equation is a square equation in one variable or not?

$x+y=10$

Check whether the equation $x+5=7$ is a square (quadratic) equation or not.

Check whether the given equation is a square equation in one variable or not?

$x\left(x-8\right)=0$

Verify whether the given values of $x$ are the roots of the equation or not?

$x^2+6x+5=0$ ; $x=-5, x=-1$

Verify whether the given values of $x$ are the roots of the equation or not?

$9x^2-3x-2=0$ ; $x=\frac{2}{3}, x=-\frac{1}{3}$

Verify whether the given values of $x$ are the roots of the equation or not?

$x^2+x+1=0$ ; $x=0, x=1$