23.1k views
2 votes
3x^2 – 2x + 7 = 0, then (x -1/3)^2

User Aren Li
by
8.1k points

1 Answer

3 votes

3x^(2) - 2x + 7 = 0 \\ \\ y = (x- (1)/(3))^(2) \\ \\ y = x^(2) - (2)/(3)x + (1)/(9) \\ \\ 3y = 3x^(2) - 2x + (1)/(3) \\ \\ 3y = 3x^(2) - 2x + 7 - (20)/(3) \\ \\ 3y = 0 - (20)/(3) \\ \\ 3y = - (20)/(3) \\ \\ \boxed{y =-(20)/(9)}
User Hamza Kubba
by
8.4k points