The solution is x = 2 and y = 25(2) + 40√(2) - 40.
To solve the equation (5√x)² = y - 20√2, square 5 and x, add 20√2 to both sides, and solve for x and y.
To find the values of x and y in the equation (5√x)² = y - 20√2:
Square 5 and x to get 25x.
Add 20√2 to both sides of the equation.
Combine like terms and rearrange the equation to get 25x + 40√x - 40 = y.
Set this equation equal to y and solve for x.
Therefore, the solution is x = 2 and y = 25(2) + 40√(2) - 40.
The probable question may be:
Given that (5 √x)^2=y-20√2 where x and y are positive integers, find
the values of x and
x =
y
y =