Question

A farmer has a piece of land.He wishes to divide equally in his two sons to maintain peace and harmony in family.If his land is denoted by the area y^2=4x and x=4 and to divide the area equally,he draws a line x=a.What is the value of a?

Answer 1

Attempt:
\[\LARGE \int\limits_0^2 2\sqrt{x}dx=\int\limits_4^a 2 \sqrt{x}dx\]
\[\LARGE a^{\frac{3}{2}}=16\]
\[\LARGE a=16^{\frac{2}{3}}\]
but the answer is slightly different,dunno why..suggestions?

Answer 2

@ganeshie8 !

Answer 3

im getting a = 16^(1/3)

Answer 4

how power 1/3?

Answer 5

i took first integral 0->a
second integral a->4

Answer 6

:O

Answer 7

sorry a typo there in my eqn its from 0 to 4 in first integral,why a ?