Question

If √x +y= 7 and x+√y= 11 . What are x and y

Answer 1

Answer:

x + √y = 7 and √x + y = 11

Consider

√x + y = 11

√x  = 11 - y  

Squaring on both sides

x = 121 - 22y + y2  

Put x = 121 - 22y + y2 in the equation x + √y = 7

Let √y = z

we get 121 + z4 - 22z2 + z = 7

We get factors z = ± 1, ± 2, ± 3, ± 6, ± 19, ± 57, ± 114

z = 3 satisfies the equation.

Now find the value of x and y we get x = 9 and y = 4

Answer 2

x and y are added so the answer is 11