Question

If x² + y² = 4xy, then x : y is ______.

Options

• 1 : 1

• 1 : 2

• 1 : 4

• 2 : 1

Answer 1

If x² + y² = 4xy, then x : y is 2 : 1.

Explanation:

Dividing by y² and setting `t = x/y` gives t² – 4t + 1 = 0, so `t = 2 ± sqrt(3)`. Neither resulting ratio is listed; therefore, none of the given options is correct.