The quadratic equation of variable $x$ having roots $-8$ and $8$ is $\ldots \ldots \ldots \ldots .$

Find the roots of the following quadratic equation by the method of completing the square: $x^{2}+2x-2=0$

$A$ pole has to be erected at a point on the boundary of a circular park of diameter $13 \, m$ in such a way that the differences of its distances from two diametrically opposite fixed gates $A$ and $B$ on the boundary is $7 \, m$. Is it possible to do so? If yes,at what distances from the two gates should the pole be erected?

If one of the roots of the quadratic equation $x^{2}+bx-15=0$ is $3$,then the other root is ..... .

Examine whether the following equation is quadratic or not: $9x = 3x^3$.

$A$ rectangular park is to be designed whose breadth is $3\, m$ less than its length. Its area is to be $4\, m^2$ more than the area of a park that has already been made in the shape of an isosceles triangle with its base as the breadth of the rectangular park and of altitude $12\, m$ (see Figure). Find its length and breadth.