Question

if X + Y is equal to 10 and x minus Y is equal to 4 find the value of x minus y whole square​

Answer 1

Answer:

Given, x+y=10

⇒y=10−x ...(i)

Now, f(x)=xy=x(10−x)=10x−x

2

Thus f

′

(x)=10−2x

For maximum value of f(x), put f

′

(x)=0

⇒10−2x=0⇒x=5

Thus x=5 and y=5 [from equation (i)]

Hence, maximum value of xy=5×5=25.

Answer 2

Answer:

$(x-y)^{2} =16$

Step-by-step explanation:

x+y=10....(1)

x-y=4..(2)

(1)-(2)

2y=6

y=6/2=3

substituting y=3 in eqn(1)

x+3=10

x=10-3=7

$(x-y)^{2} =(7-3)^{2}$

=$4^{2}$=16