The angry Arjun carried some arrows for fighting with Bhesshm. With the half of the arrows, he cut down the arrows thrown by Bheeshm on him and with six 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 unconscious on an arrow bed. Find the total number of arrows Arjun had.
Let the total number of arrows Arjun had = x
According to the question, ![]()
⇒ 10 + 4x = x/2
⇒ 20 + 8x = x
⇒ 8x = x – 20
Squaring both sides;
⇒ 64x = x2 – 40x + 400
⇒ x2 – 104x + 400 = 0
⇒ x2 – 100x – 4x + 400 = 0
⇒ x(x – 100) – 4(x – 100) = 0
⇒ (x – 100)(x – 4) = 0
⇒ x = 100 or x = 4
As x cannot be less than 10
So, Arjun had 100 arrows.
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