What are the solutions of the following system? y=-2x^2 y=x-2

x = 0.781, y = - 1.219

and

x = - 1.281, y = - 3.281.

Step-by-step explanation:

Since both of the x terms are equal to y we can equate the x terms:-

-2x^2 = x - 2

2x^2 + x - 2 = 0

x = [-1 + / - √ (1^2 - 4*2*-2) ] / 4

= ( - 1 + / - √ (17)) / 4

= 0.781, - 1.281.

When x = 0.781 y = 0.781 - 2 = - 1.219.

when x = - 1.281, y = - 1.281 - 2 = - 3.281.