Question

Angry Arjun carried Some arrows for fighting with Bheeshqm. With half arrows he cut down arrows thrown by Bhisham on him and with 6 arrows each be knocked down Rath, flag and bow of Needham. With one more than four times square root of arrows he laid Needham unconscious on an arrow bed . Find total no. of arrows Arjun had ?

Answer 1

Sol:

Let the total no of arrows Arjun carried x . 

Given that he used half of the arrows, he cut down the arrows thrown by Bheeshm = x / 2. 

With 6 other arrows, he killed the rath driver of Bheeshm with one arrow each, he knocked down respectively the rath, flag and the bow of Bheeshm. 

Finally, with one more than four times the square root of arrows, He laid Bheeshm unconcious on an arroe bed i.e 4√x +1 

From all the above we get

x/2 + 6 + 3 + 4√x + 1 = x 

⇒ x + 20 + 8√x = 2x 

⇒ x - 8√x - 20 = 0 

⇒ √x(√x-10) + 2(√x-10) = 0 

⇒(√x + 2)(√x - 10) = 0. 

√x = -2 or √x = 10 ( don't take negative value) 

⇒√x = 10 ∴x = 100