Answer:
x = 1 + i, x = 1 - i
Step-by-step explanation:
Make the second equation y = 3x - 1
Substitute: 3x - 1 = 1/2x^2 + 2x
Simplify: 6x - 2 = x^2 + 4x
x^2 + 4x + 2 = 6x
x^2 - 2x + 2 = 0
Complete the square: x^2 - 2x + 1 = - 1
(x - 1)^2 = -1
x - 1 = ± √-1
Take out the negative: x - 1 = ± i
x = 1 + i, x = 1 - i
i is for imaginary number
