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The angry Arjun carried some arrows for fighting with Bheeshm. With half the arrows, he cut down the arrows thrown by Bheeshm on him and with six other arrows he killed the charioter of Bheesham. With one arrow each he knocked down respectively the rath, flag and bow of Bheeshm. Finally with one more than four times the square root of arrows he laid Bheeshm unconscious on an arrow bed. Find total number of arrows Arjun had.
Asked by Topperlearning User | 22 Nov, 2017, 02:43: PM
answered-by-expert Expert Answer

Let space the space total space number space of space arrows space be space straight x. Arrows space used space in space cutting space the space arrows space thrown space by space Bhism space plus space killing space rath space driver space plus space knocking space down space rath plus space knocking space down space flug space plus space knocking space down space bow space of space Bhism equals straight x over 2 plus 6 plus 1 plus 1 plus 1 equals straight x over 2 plus 9 Therefore comma space arrows space left space equals space straight x space minus space open parentheses straight x over 2 plus 9 close parentheses equals fraction numerator straight x minus 18 over denominator 2 end fraction Now space given space that space arrows space left space equals space 1 plus 4 square root of straight x Equating space both fraction numerator straight x minus 18 over denominator 2 end fraction equals 1 plus 4 square root of straight x fraction numerator straight x minus 18 over denominator 2 end fraction minus 1 equals 4 square root of straight x straight x minus 20 equals 8 square root of straight x squaring space on space both space sides comma straight x squared minus 40 straight x plus 400 equals 64 straight x straight x squared minus 84 straight x plus 400 equals 0 open parentheses straight x minus 100 close parentheses open parentheses straight x minus 4 close parentheses equals 0 straight x equals 4 space or space 100 Total space number space of space arrows space can space not space be space 4 space because space Arjun space used space more space than space that tehrefore space total space number space of space arrows space equals space 100

Answered by | 22 Nov, 2017, 04:43: PM

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