Question

divide 26 into two parts such that sum of their square is 133​

Answer 1

Answer:

Let x and y be the two parts of the number 10

∴x+y=10 ...... (i)

According to the question,

Let A=2x+y

2

=2x+(10−x)

2

=2x+100+x

2

−20x

=x

2

−18x+100

On differentiating w.r.t. x, we get

dx

dA

=2x−18

For max or min of A,

Put

dx

dA

=0=2x−18

⇒x=9

Now,

dx

2

d

2

A

=2>0 (min)

On putting x=9 in Eq. (i), we get

y=1

∴(x,y)=(9,1)