Solve it: f (x) = - 4 (x-8) ^2+3

Question

Mathematics

Maurice Raymond

6 November, 11:09

Solve it: f (x) = - 4 (x-8) ^2+3

+5

Answers (1)

Know the Answer?

Vaughn Sherman · Answer 1

x = 8 + sqrt (3) / 2 or x = 8 - sqrt (3) / 2

Step-by-step explanation by completing the square:

Solve for x:

3 - 4 (x - 8) ^2 = 0

Subtract 3 from both sides:

-4 (x - 8) ^2 = - 3

Divide both sides by - 4:

(x - 8) ^2 = 3/4

Take the square root of both sides:

x - 8 = sqrt (3) / 2 or x - 8 = - sqrt (3) / 2

Add 8 to both sides:

x = 8 + sqrt (3) / 2 or x - 8 = - sqrt (3) / 2

Add 8 to both sides:

Answer: x = 8 + sqrt (3) / 2 or x = 8 - sqrt (3) / 2