Solve the equation by completing the square. If necessary, round to the nearest hundredth.
x² – 18x = 19
(1 point)
Responses
1; 19
1; 19
–1; 19
–1; 19
3; 6
3; 6
–3; 1
x² - 18x = 19
x² - 18x + (18/2)² = 19 + (18/2)²
x² - 18x + 81 = 19 + 81
(x - 9)² = 100
x - 9 = ±√100
x - 9 = ±10
x = 9 ± 10
x = 9 + 10 or x = 9 - 10
x = 19 or x = -1
So the solutions are x = 19 and x = -1.
Therefore, the correct response is: 1; 19