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One-forth of a herd of camels was seen in the forest. Twice the square-root of
the herd had gone to mountains and the remaining 15 camels were seen on the
bank of the river. Find the total number of camels.
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Answer:36
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let the total number of camel be x
ATQ
1/4x + 2(√x) + 15 = x
1/4x +2√x + 15 = x
2√x = x - 1/4x -15
2√x = (4x -x - 60)/4
√x = (3x - 60)/8
squaring both sides
we get
x = (3x - 60)²/8²
x = (9x² + 3600 - 360x)/64
9x² - 360x + 3600 = 64x
9x² - 424x + 3600 = 0
9x² -324x - 100x + 3600 = 0
9x(x - 36) -100(x -36) = 0
x = 36 or x = 100/9
number of camels can't be in fraction
therefore number of camels are 36
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