Question

Y = x and y =x^2 - 2

Answer 1

Answer:

  (-1, -1) and (2, 2)

Step-by-step 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)