Tính:

To solve the system of equations, we can use substitution method.

From the first equation, we can solve for x in terms of y:
4x = 7y
x = (7y)/4

Substituting this value of x into the second equation:
(x^2)(y^2) = 260
((7y)/4)^2(y^2) = 260
(49y^2/16)(y^2) = 260
49y^4/16 = 260

Multiplying both sides by 16/49 to isolate y^4:
y^4 = (260)(16/49)
y^4 = 80

Taking the fourth root of both sides to solve for y:
y = ±√(80)

y = ±4√5

Substituting these values of y back into the first equation to solve for x:
For y = 4√5:
4x = 7(4√5)
4x = 28√5
x = 7√5

For y = -4√5:
4x = 7(-4√5)
4x = -28√5
x = -7√5

Therefore, the solutions to the system of equations are:
(x, y) = (7√5, 4√5) and (x, y) = (-7√5, -4√5)