To complete the square, we need to add and subtract (9/2)^2 = 20.25 inside the parentheses:
x^2 + 9x - 14 = 0
x^2 + 9x + 20.25 - 20.25 - 14 = 0
(x + 4.5)^2 - 34.25 = 0
(x + 4.5)^2 = 34.25
x + 4.5 = ±√34.25
x = -4.5 ± √34.25
Therefore, the solutions are approximately -10.35 and 1.35, which corresponds to answer choice D.
Solve the equation by completing the square.
x squared plus 9 x minus 14 equals 0
A. 10.35, 1.35
B. 10.35, negative 1 point 35
C. negative 10.35, negative 1.35
D. negative 10.35, 1.35
1 answer
1 answer