X2 + y2 = 9
x2 - y2 = 1
select all of the following that are solutions to the system shown.
(√5, 2)
(√5, -2)
(-√5, 2)
(-√5, -2)

The solution of the given system is,

(√5, 2)

(√5, -2)

(-√5, 2)

(-√5, -2)

Step-by-step explanation:

Here, the given system of equation is,

--------(1)

 ----------(2)

By adding the above equations,

We get,

When x = √5

Then, from the equation (1),

Hence, the solutions are (√5, 2) and (√5,-2)

Again if x = -√5,

By equation (1),

Hence, the solutions are (-√5,2) and (-√5,-2)

Thus, the all solutions of the given system are (√5,2), (√5,-2), (-√5,2) and (-√5,-2)

⇒ All options are correct.

the answer will be