x2

+y2 =34

x+y=2

1 answer

since y = 2-x,
x^2 + (2-x)^2 = 34
x^2 + x^2 - 4x + 4 = 34
2x^2 - 4x - 30 = 0
x^2 - 2x - 15 = 0
(x-5)(x+3) = 0
Now finish it off