One fourth of a herd of camels was seen in forest. Twice of square root of the herd had gone to mountains and remaining 15 camels were seen on the bank of a river, find the total number of camels.
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let the total number of camels be x
number of camels seen in forest =x/4
number of camels gone to the mountain=2√x
remaining no.of camels seen in bank of river=15
Total no.of camels =x/4+2✓x+15
- x=x/4+2√x+15
- 2√x =x-x/4-15
- 2√x=3x/4-15
squaring both sides
- 4x=9x^2/16-45x/2-4x+225
- 9x^2/16-53x/2+225=0
- 9x^2-424×3600/16=0
- 9x^2-424x+3600=0
- 9x(x-36)-100(x-36)
- (x-36)(9x -100)=0
- so x=36 or x=100/9
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