Question

Y = x and y =x^2 - 2

Answer 1

(-1, -1) and (2, 2)

Explanation:

Substitute for y in the first equation and solve the quadratic.

x = x^2 -2

x^2 -x -2 = 0 . . . . subtract x

(x -2)(x +1) = 0 . . . .factor

Solutions are the values of x that make these factors be zero:

x = 2, x = -1

Since y=x, the solutions are ...

(x, y) = (-1, -1) and (2, 2)