If one of the roots of quadratic equation $x^{2}+4x+m=0$ is $2$,then the other root is .... .

Examine whether the following equation is quadratic or not: $(x+6)(x+5)=0$.

When there is a decrease of $10 \,km/hr$ in the usual speed of a train,it takes $4 \frac{1}{2}$ hours more to cover a $900 \,km$ distance. Find the usual speed of the train.

Verify whether the given value of $x$ is a solution of the quadratic equation or not: $x + \frac{1}{x} = 3 \frac{1}{3}$; $x = \frac{1}{3}$.

The roots of a quadratic equation $(x-7)^{2}-16=0$ are ...... .

Solve the following quadratic equation using the method of factorization: $3x^{2} = -11x - 10$.