Question

Find the zeros of the quadratic function f(x) = 1/2(x- 7)^2 – 8​

Answer 1

Answer:

x = 11 or 3

Step-by-step explanation:

f(x) = (1/2)(x- 7)² – 8​

to find the zeros, we equate f(x) = 0

f(x) = 0

(1/2)(x- 7)² – 8​ = 0      (add 8 to both sides)

(1/2)(x- 7)² = 8     (multiply both sides by 2)

(x- 7)² = (8)(2)

(x- 7)² = 16

x-7 = ±√16

x-7 = ±4

hence,

x - 7 = 4

x = 4 + 7

x = 11

or

x - 7 = -4

x = -4 +7

x = 3