Question

Solve when x ∈ {-2, 0, 2} and y ∈ {-3, -1, 0, 3} y=1-x^2

Answer 1

(-2,-3) and (2,-3).

Explanation:

It is given that x ∈ {-2, 0, 2} and y ∈ {-3, -1, 0, 3} .

The given equation is

`y=1-x^2`

At x=-2,

`y=1-(-2)^2=1-4=-3\in y`

At x=0,

`y=1-(0)^2=1-0=1\\otin y`

At x=2,

`y=1-(2)^2=1-4=-3\in y`

Therefore, the solution of given equation are (-2,-3) and (2,-3).