Question

3 of 103 of 10 Items Question 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

Answer 1

i can only pick one

Answer 2

To solve the equation x² - 18x = 19 by completing the square, follow these steps:

1. Begin by moving the constant term to the right side of the equation:
x² - 18x + ___ = 19 + ___

2. To complete the square, take half of the coefficient of x (-18) and square it:
(-18/2)² = (-9)² = 81

3. Add this value to both sides of the equation:
x² - 18x + 81 = 19 + 81
x² - 18x + 81 = 100

4. Now, factor the left side of the equation:
(x - 9)² = 100

5. Take the square root of both sides:
x - 9 = ±√100
x - 9 = ±10

6. Solve for x:
x = 9 + 10 or x = 9 - 10
x = 19 or x = -1

So, the solutions to the equation x² - 18x = 19 by completing the square are x = 19 and x = -1. The answer choices that correspond to these solutions are:
1; 19
-1; 19

Answer 3

In that case, the correct solution is x = 19. So the answer is 1; 19.