The paint in a certain container in different is sufficient to paint 8.5² surface .How many containers of paint wilp be required to paint the walls of a hall room which is 12 m long,5 m wide and 4.25 m high? Find the cost of paint if each container costs 350 rs

The paint in a certain container in different is sufficient to paint 8

1.	The paint in a certain container in different is sufficient to paint 8.5² surface .How many containers of paint wilp be required to paint the walls of a hall room which is 12 m long,5 m wide and 4.25 m high? Find the cost of paint if each container costs 350 rs
Answer» This IMPLIES thatx2+2ax=4x−4a−13orx2+2ax−4x+4a+13=0orx2+(2a−4)x+(4a+13)=0Since 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)or4a2−16a+16=16a+52or4a2−32a−36=0ora2−8a−9=0or(a−9)(a+1)=0So the values of a are −1 and 9.