one-forth of a herd of camels was seen in forest.Twice the square root of the herd
gone to mountains and the remaining 15 camels were seen on the bank of a river . find total number of camels.
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Step-by-step explanation:
Solution :-
Let x be the total numbers of camels.
Camels seen in the forest = x/4
Camels gone to mountains = 2√x
According to the Question,
⇒ x + 8√x + 60 = 4x
⇒ 3x - 8√x - 60 = 0 ....(i)
Putting √x = y in Eq (i), we get
⇒ 3y² - 8y - 60 = 0
⇒ 3y² - 18y + 10y - 60 = 0
⇒ 3y(y - 6) + 10(y - 6) = 0
⇒ (y - 6)(3y + 10) = 0
⇒ y = 6 or 3y + 10 = 0
⇒ y = 6, - 10/3 (Rejecting negative sign's one)
⇒ y = 6
⇒ √x = 6
Squaring both sides, we get
⇒ x = 36
Hence, total number of camels is 36.
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