Q. 234.9( 8 Votes )

One-fourth of a h

Answer :

Let the total number of camels is “x”.


Given: Camels in forest = x/4


Camels in mountain = 2√x


Camels on river bank = 15


To find: Total camels


Method Used:


To solve the quadratic equation by factorisation method, follow the steps:


1) Multiply the coefficient of x2 and constant term.


2) factorise the result obtained in step 1.


3) Now choose the pair of factors in such a way that after adding or subtracting(splitting) them


You get coefficient of x.


Explanation:


According to question,







3x – 8√x – 60 = 0


Let x = p2 …. (1)


3p2 – 8p – 60 = 0


Split the middle term to get,


3p2 – 8p – 60 = 0


3p2 – 18p + 10p – 60 = 0


3p (p – 6) + 10(p – 6) = 0


(p – 6) (3p+ 10) = 0


p = 6 and p = -10/3


From (1),



x = 62 = 36


As camels cannot be in fraction.


Thus, total number of camels are 36.


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