Question

Radio towers are used for transmitting a range of communication services
including radio and television. The tower will either act as an antenna itself or
support one or more antennas on its structure, including microwave dishes.
They are among the tallest human-made structures. There are 2 main types:
guyed and self-supporting structures.
On a similar concept, a radio station tower was built in two sections A and B
Tower is supported by wires from a point o Distance between the base of
the tower and point o is 36 m. From point 0, the angle of elevation of the
top of section B is 30° and the angle of elevation of the top of section A is
302
45
36 m​

Answer 1

Answer:

This implies that

x2+2ax=4x−4a−13

or

x2+2ax−4x+4a+13=0

or

x2+(2a−4)x+(4a+13)=0

Since the equation has just one solution instead of the usual two distinct solutions, then the two solutions must be same i.e. discriminant = 0.

Hence we get that

(2a−4)2=4⋅1⋅(4a+13)

or

4a2−16a+16=16a+52

or

4a2−32a−36=0

or

a2−8a−9=0

or

(a−9)(a+1)=0

So the values of a are −1 and 9.