The square of x is equal to 4 times the square of y. If x is 1 more than twice y, what is the value of x?

Question

a) -4

b) -1/2

c) 1/4

d) 1/2

Answer 1

x² = 4y²

Since x = 1 + 2y, we have (1 + 2y)² = 4y²

So, 1 + 4y + 4y² = 4y²

4y = -1

y = -1/4

So, x = 1 + 2y = 1/2