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.
Answers
let the total no. of camel's be x
let the total no. of camel's be xnow, acccording to question
Herds seen in Forest=1/4 ×x=x/4
Herds seen on mountain=2√x
remaining camel's,which were seen on mountain=x-(2√x+x/4)
and this is equal to 15(given)
so,
15=x-(8√x+x)/4
15=(4x-x-8√x)/4
3x-8√x=60
sqaure both side we get
let √x=y
then x=y^2
so,
3y^2-8y-60=0
y={8+-(64+720)^1/2}/6
y=(8+28)/6
y=6
we know
Y=√x
6=√x
x=6^2
x=36
Hence total camel's will be 36
Answer:
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.