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3 years ago

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

Mathematics

1 answer:

Rasek [7]3 years ago

5 0

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

x - 7 = -4

x = -4 +7

x = 3

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