Find the roots of by the method of completing the squares.

Find the area of the shaded region in Fig. 7, where arcs are drawn with centers A, B, C and D intersect in pairs at mid-points P, Q, R and S of the sides AB, BC, CD, and DA respectively of a square ABCD, where the length of each side of the square is 14 cm.

A toy is in the shape of a solid cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 21 cm and 40 cm respectively, and the height of the cone is 15 cm, then find the total surface area of the toy.

Determine the ratio in which the line divides the segment joining the points (1, 3) and (2, 7)

A coin is tossed two times. Find the probability of getting both heads or both tails.