In the following question two equations are given. You have to solve these equations and determine relation between x and y.
I. 2x2 + 12x + 18 = 0
II. – 7y2 – 42y – 63 = 0
I. 2x2 + 12x + 18 = 0
⇒ 2x2 + 6x + 6x + 18 = 0
⇒ 2x(x + 3) + 6(x + 3) = 0
⇒ 2(x + 3)(x + 3) = 0
Then, x = - 3
II. – 7y2 – 42y – 63 = 0
⇒ - 7y2 – 21y – 21y – 63 = 0
⇒ - 7y(y + 3) – 21(y + 3) = 0
⇒ - 7(y + 3)(y + 3) = 0
Then, y = - 3
So, x = y = - 3
∴ So, we can observe that x = y.