Question

Hannah wishes to find the vertex of the function x2 + 3x - 28 = 0 by completing the square. Which of the following equations may be used to identify the coordinates of the vertex?

A. (x + 1.2)2 = 30.25
B. (x + 2.25)2 = 30.5
C. (x + 2.5)2 = 30.75
D. (x + 2.75)2 = 32.5

Answer 1

x²+3x-28=0

(x+1.5)² - 1.5² - 28 = 0
(x+1.5)² - 25.75 = 0
(x+1.5)² = 25.75

Note: The answer is not listed on the option given. Maybe worth checking the if the original equation has been copied correctly.